The engine won't start could be an electrical short

If the problem only happens when the engine is cold, a bad electric sensor is likely to blame. If the car stalls even when the engine is warm, the cause is likely a faulty electric fuel pump.

Why is it that my car starts but won't stay running? ' Reference.com

https://www.reference.com/vehicles/car-starts-won-t-stay-running-6449388a9326285d Car won stay running Google Search

Daniel, If battery is known to be good, could be bad connections at battery, starter/solenoid, or ground on engine/frame, battery cables also could be bad with build up of corrosion internally. Check the attached links,instruction and guides, Good luck
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Engine Won Crank or Start
Diagnostic flowchart for car that won start or stalls Troubleshooting for...
No Crank No Start Diagnosis EricTheCarGuy

ck for electrical short draining the bat. recheck batt could be defect. ck all electrical devices in the car to be sure they' re working. A alarm system is a big drain (if u have one)

I know this is too late but, you should never pressure wash an engine without waterproofing all of your electrics. The pressure washer pushes water into places it isn't meant to go. You will need to find where the water has gone, and dry it out. You may be lucky and be able to save your ECU or electric start kit by drying it out properly.

You probably have a ground issue , looking at a wiring diagram or ground distribution diagram to see if these share a commom ground point or share power from same fuse,https://www.youtube.com/watch?v=WoN1nou5t1Q&t=224s circuit with a high resistance problem . Do you know how to test automotive electrical circuits with a DMM - digital multi-meter , how to read an use a wiring diagram to pin point test spots in a circuit . Free wiring diagrams at http://www.bbbind.com/free_tsb.html . Check out these videos on voltage drop testing an basic electrical testing . This is the way to find electrical problems .
Mastering Voltage Drop Testing with Pete Meier and Jerry Truglia YouTube
Electric Testing Techniques You Need to Know

Basic Electricity for Service Techs Ohm law Current Flow Opens Shorts

good luck !

P0513 - Incorrect Immobilizer Code
Possible causes- Open or short immobilizer circuit
- Poor electrical connection for immobilizer circuit components
- Faulty immobilizer control unit
- Faulty immobilizer key
- Faulty immobilizer key antenna

Read more: http://engine-codes.com/p0513.html#ixzz24sUqroQI

do you here the fuel pump working when you turn the key?If not could be a fuse that runs the fuel pump.

Your fan or heater likely shorted out and burned up, causing your one of the main fuses to blow due to the spike in current. You will need to determine what burnt up and replace it before replacing the fuse, or you may create a fire hazard or cause further equipment damage. Also double check any changes to wiring to make sure that everything is hooked up properly.

If your battery is good and all of your other electrical systems work fine then chances are it is your starter that is bad. However if the engine turns over but just won't start then you most likely have an electrical problem such as a bad ignition switch or ECM. I hope this helps you out.

CHECK ALL THE IGNITION ELECTRICAL WIRES ON THE IGNITION SYSTEM.CHECK MAKE SURE FUSES ARE IN TIGHT.IF YOU BATTERY IS OLD.I SEEN A BAD BATTERY KILL THE ENGINE.IT HAS A PLATE SHORTING ON INSIDE.IT WILL KILL THE ENGINE.LIKE YOU TURN OFF YOUR SELF.