P0000 code fuel pressure regulator control circuit open

Code P0001 is your fuel pressure regulator on your fuel injection rail on your engine. There is Cause and Effect. That said, it could be that the regulator is bad but it could be that another component is affecting the regulator. You may want to send it in for diagnostics. Otherwise you could be replacing a part that is ok. There is a fuel filter that is serviceable inside the gas tank. I would suspect a leaking fuel line, fuel injector, worn out fuel pump or fuel pressure regulator. Feel free to write back if there is anything else.

Check the following , Fuel pressure and flow if pressure is low check fuel pressure regulator and pump , if flow is low replace fuel filter.

code p0001refers to fuel volume regulator control--circuit open===causes --wiring --regulator control solenoid
code p 0002 refers to same unit ---circuit range/ performance===causes --same as as for p0001
check for loose /dirty harness connections
replace fuel pressure regulator

2007 Chevrolet Silverado - 2WD or 4X4
2007 Chevrolet Silverado Classic - 4WD or 2WD . What size engine ?
Engine Controls and Fuel - 4.3L
Engine Controls and Fuel - 4.8L, 5.3L, and 6.0L
Engine Controls and Fuel - 6.6L (LBZ and LLY)
Engine Controls and Fuel - 8.1L

6.6 L
DTC P0191: Fuel Rail Pressure (FRP) Sensor Performance
The fuel rail pressure (FRP) sensor has a 5-volt reference circuit, a signal circuit, and a low reference circuit. The engine control module (ECM) monitors the voltage on the FRP sensor circuits. When the fuel pressure is high, the signal voltage is high. When the fuel pressure is low, the signal voltage is low. The fuel pressure regulator has a solenoid supply voltage circuit and a solenoid control circuit. The ECM controls the fuel pressure regulator , which regulates high pressure fuel that goes to the fuel injector rails and the injectors.

if that is the code then replace the pressure regulator
it is not allowing pressure to be maintained at the correct operating pressure (50-65 psi) all of your stated problem will occur

What DTC ? P0000 what , What engine 3.6 or 4.6 L Need more info if you would like help .
The fuel pressure regulator attaches to the fuel return pipe on the fuel sender assembly. The fuel pressure regulator is a diaphragm-operated relief valve. A software bias compensates the injector on-time because the fuel pressure regulator is not referenced to manifold vacuum. The injector pulse width varies with the signal from the mass air flow (MAF)/intake air temperature (IAT) sensor.
With the engine running at idle, the system fuel pressure at the pressure test connection should be between 380-410 kPa (55-60 psi). With the system pressurized and the pump OFF the pressure should stabilize and hold. If the pressure regulator supplies a fuel pressure which is too low or too high, a driveability condition will result.

Your vehicle has no fuel pump relay . Has a fuel pump flow control module .
Fuel Pump Flow Control Module (FPCM)
The fuel pump flow control module (FPCM) is a serviceable GMLAN module. The FPCM receives the desired fuel pressure message from the engine control module (ECM) and controls the fuel pump located within the fuel tank to achieve the desired fuel pressure. The FPCM sends a PWM signal to the fuel pump, and pump speed is changed by varying the duty cycle of this signal.
Plus it has two fuel pumps !
The high pressure fuel pump (9) is a mechanical one cylinder design driven by an eccentric on the exhaust camshaft (1) of bank 2. High pressure fuel is regulated by the fuel rail pressure (FRP) regulator, which is a part of the high pressure fuel pump. The FRP regulator is a magnetic actuator which controls the inlet valve of the high pressure pump. The ECM provides battery voltage on the actuator high circuit and ground on the actuator low reference circuit. Both circuits are controlled by the ECM. When the ECM deactivates the FRP regulator, both circuits are disabled and the inlet valve is held open with spring pressure. When the ECM activates the FRP regulator, the low circuit driver connects the low reference circuit to ground and the high circuit driver pulse-width modulates (PWM) the high circuit. The ECM uses the camshaft and crankshaft position sensor inputs to synchronize the FRP regulator with the position of the eccentric on the camshaft. The ECM regulates fuel pressure by adjusting the portion of each pump stroke that provides fuel to the rail. The high pressure fuel pump also contains an integrated pressure relief valve.
Your best bet is have it towed to the dealer , you don't want to mess with the high pressure pump .
Pluse

check the solenoid next to fuel pressure regulator on fuel rail,and the wiring to it ,or the bad relay at fuse box in engine compartment

The location of WHAT???

Diagnostic Test Code (DTC) P1250 is a manufacturer - specific code which has a general description of "Pressure Regulator Control (PRC) Solenoid Circuit Malfunction".

The PCM monitors input voltage at Pin number 44 when the ignition is turned on. DTC P1250 sets when less than .44 volts are present. The possible causes are:
> PRC Valve malfunction (open or shorted internally)
> Open or short circuit between the PRC valve and the PCM (control circuit)
> Open or short circuit in the solenoid ignition voltage supply circuit
> Failed PRC valve (stuck open)
> Malfunctioning PCM

here are all poss causes of check engine light.
Generic Trouble Codes

P0001-P0099 – Fuel and Air Metering and Auxiliary Emission Controls
Code Description
P0001 Fuel Volume Regulator Control Circuit/Open
P0002 Fuel Volume Regulator Control Circuit Range/Performance
P0003 Fuel Volume Regulator Control Circuit Low
P0004 Fuel Volume Regulator Control Circuit High
P0005 Fuel Shutoff Valve Control Circuit/Open
P0006 Fuel Shutoff Valve Control Circuit Low
P0007 Fuel Shutoff Valve Control Circuit High
P0008 Engine Position System Performance (Bank 1)
P0009 Engine Position System Performance (Bank 2)
P0010 A Camshaft Position Actuator Circuit (Bank 1)
P0011 A Camshaft Position - Timing Over - Advanced or System Performance (Bank 1)
P0012 A Camshaft Position - Timing Over - Retarded (Bank 1)
P0013 B Camshaft Position - Actuator Circuit (Bank 1)
P0014 B Camshaft Position - Timing Over - Advanced or System Performance (Bank 1)
P0015 B Camshaft Position - Timing Over - Retarded (Bank 1)
P0016 Crankshaft Position - Camshaft Position Correlation (Bank 1 Sensor A)
P0017 Crankshaft Position - Camshaft Position Correlation (Bank 1 Sensor B)
P0018 Crankshaft Position - Camshaft Position Correlation (Bank 2 Sensor A)
P0019 Crankshaft Position - Camshaft Position Correlation (Bank 2 Sensor B)
P0020 A Camshaft Position Actuator Circuit (Bank 2)
P0021 A Camshaft Position - Timing Over - Advanced or System Performance (Bank 2)
P0022 A Camshaft Position - Timing Over-Retarded (Bank 2)
P0023 B Camshaft Position - Actuator Circuit (Bank 2)
P0024 B Camshaft Position - Timing Over - Advanced or System Performance (Bank 2)
P0025 B Camshaft Position - Timing Over - Retarded (Bank 2)
P0026 Intake Valve Control Solenoid Circuit Range/Performance (Bank 1)
P0027 Exhaust Valve Control Solenoid Circuit Range/Performance (Bank 1)
P0028 Intake Valve Control Solenoid Circuit Range/Performance (Bank 2)
P0029 Exhaust Valve Control Solenoid Circuit Range/Performance (Bank 2)
P0030 HO2S Heater Control Circuit (Bank 1 Sensor 1)
P0031 HO2S Heater Control Circuit Low (Bank 1 Sensor 1)
P0032 HO2S Heater Control Circuit High (Bank 1 Sensor 1)
P0033 Turbo Charger Bypass Valve Control Circuit
P0034 Turbo Charger Bypass Valve Control Circuit Low
P0035 Turbo Charger Bypass Valve Control Circuit High
P0036 HO2S Heater Control Circuit (Bank 1 Sensor 2)
P0037 HO2S Heater Control Circuit Low (Bank 1 Sensor 2)
P0038 HO2S Heater Control Circuit High (Bank 1 Sensor 2)
P0039 Turbo/Super Charger Bypass Valve Control Circuit Range/Performance
P0040 O2 Sensor Signals Swapped Bank 1 Sensor 1/ Bank 2 Sensor 1
P0041 O2 Sensor Signals Swapped Bank 1 Sensor 2/ Bank 2 Sensor 2
P0042 HO2S Heater Control Circuit (Bank 1 Sensor 3)
P0043 HO2S Heater Control Circuit Low (Bank 1 Sensor 3)
P0044 HO2S Heater Control Circuit High (Bank 1 Sensor 3)
P0045 Turbo/Super Charger Boost Control Solenoid Circuit/Open
P0046 Turbo/Super Charger Boost Control Solenoid Circuit Range/Performance
P0047 Turbo/Super Charger Boost Control Solenoid Circuit Low
P0048 Turbo/Super Charger Boost Control Solenoid Circuit High
P0049 Turbo/Super Charger Turbine Overspeed
P0050 HO2S Heater Control Circuit (Bank 2 Sensor 1)
P0051 HO2S Heater Control Circuit Low (Bank 2 Sensor 1)
P0052 HO2S Heater Control Circuit High (Bank 2 Sensor 1)
P0053 HO2S Heater Resistance (Bank 1 Sensor 1)
P0054 HO2S Heater Resistance (Bank 1 Sensor 2)
P0055 HO2S Heater Resistance (Bank 1 Sensor 3)
P0056 HO2S Heater Control Circuit (Bank 2 Sensor 2)
P0057 HO2S Heater Control Circuit Low (Bank 2 Sensor 2)
P0058 HO2S Heater Control Circuit High (Bank 2 Sensor 2)
P0059 HO2S Heater Resistance (Bank 2 Sensor 1)
P0060 HO2S Heater Resistance (Bank 2 Sensor 2)
P0061 HO2S Heater Resistance (Bank 2 Sensor 3)
P0062 HO2S Heater Control Circuit (Bank 2 Sensor 3)
P0063 HO2S Heater Control Circuit Low (Bank 2 Sensor 3)
P0064 HO2S Heater Control Circuit High (Bank 2 Sensor 3)
P0065 Air Assisted Injector Control Range/Performance
P0066 Air Assisted Injector Control Circuit or Circuit Low
P0067 Air Assisted Injector Control Circuit High
P0068 MAP/MAF - Throttle Position Correlation
P0069 Manifold Absolute Pressure - Barometric Pressure Correlation
P0070 Ambient Air Temperature Sensor Circuit
P0071 Ambient Air Temperature Sensor Range/Performance
P0072 Ambient Air Temperature Sensor Circuit Low
P0073 Ambient Air Temperature Sensor Circuit High
P0074 Ambient Air Temperature Sensor Circuit Intermittent
P0075 Intake Valve Control Solenoid Circuit (Bank 1)
P0076 Intake Valve Control Solenoid Circuit Low (Bank 1)
P0077 Intake Valve Control Solenoid Circuit High (Bank 1)
P0078 Exhaust Valve Control Solenoid Circuit (Bank 1)
P0079 Exhaust Valve Control Solenoid Circuit Low (Bank 1)
P0080 Exhaust Valve Control Solenoid Circuit High (Bank 1)
P0081 Intake Valve Control Solenoid Circuit (Bank 2)
P0082 Intake Valve Control Solenoid Circuit Low (Bank 2)
P0083 Intake Valve Control Solenoid Circuit High (Bank 2)
P0084 Exhaust Valve Control Solenoid Circuit (Bank 2)
P0085 Exhaust Valve Control Solenoid Circuit Low (Bank 2)
P0086 Exhaust Valve Control Solenoid Circuit High (Bank 2)
P0087 Fuel Rail/System Pressure - Too Low
P0088 Fuel Rail/System Pressure - Too High
P0089 Fuel Pressure Regulator 1 Performance
P0090 Fuel Pressure Regulator 1 Control Circuit
P0091 Fuel Pressure Regulator 1 Control Circuit Low
P0092 Fuel Pressure Regulator 1 Control Circuit High
P0093 Fuel System Leak Detected - Large Leak
P0094 Fuel System Leak Detected - Small Leak
P0095 Intake Air Temperature Sensor 2 Circuit
P0096 Intake Air Temperature Sensor 2 Circuit Range/Performance
P0097 Intake Air Temperature Sensor 2 Circuit Low
P0098 Intake Air Temperature Sensor 2 Circuit High
P0099 Intake Air Temperature Sensor 2 Circuit Intermittent/Erratic