Where is the commen oil leak on a 97 ford taurus

Umm...

Overheating is either a sign of a thermostat/radiator fault, a coolant leak or a leaking cylinder head gasket.

Smoking is either due to overfilling with oil, worn valve seals or worn piston rings/worn engine.

If the trouble started when you topped up with oil, drain the oil system and try a different oil.

Wild guess based on some experience.
The PVC assembly is attached at both ends with rubber tubing.
It is common for this to crack and oil will leak out and make the motor look terrible.

There are some simple kits which have a glowing fluid which can be seen with a UV ultraviolet light supplied in the kit.

You add the glowing liquid to the engine, run the motor, and inspect the drips for the leak location. Then you fix that bad part.

Now sometimes the sending units do leak. But any gasket or seal can leak just as well.

Do not run the engine with the oil light on. Check your oil level constantly. No oil=no engine.

Can not speculate on battery problem from info provided.

This sounds like you may have broken a transmission line or damaged the transmission pan. the oil has leaked out of transmission that is why it will not move,

Do not start car until you have repaired the leak, running the engine will damage the transmission due to low oil in it,

you will need to add 2qts of transmission fluid then jack up the front of the car and look for the leak, if you do not see it then have someone start the car and look, you will be able to see it leak out, i thing it will end up being the pan, good day.

Three additonal places to check:

1) Pull your dip stick and see if the oil on it shows signs of coolant in it. The oil would appear milky beige in color. This would indicate a leaking head gasket into the oil system.

2) Check for leaking coolant on the passenger side fire wall inside the vehicle. This would indicate a leaking heater core.

3) Check the exhaust when the car is running looking for white steam. This would indicate a leaking head gasket into a cylinder.

You should have your coolant pressure check it will reveil any small leak that you my not be able to see.

All you have to do is get under the car with a 1/2" drive ratchet, 3" extension, an extension swivel, and the socket for the bolts on the oil pan. Go through all the bolts and tighten them all up. You will be surprised at how loose some of them are.

Oil leak can be attributed to several factors.
1. Gasket failure.
2. Uncontrolled Crank case pressure Failure.

RECOMENDATION:
Tighten both the valve cover and oil pan bolts.
Replace the Positive Crankcase Ventilation Valve and vacuum line.,

INFO: PCV
This is a valve causes a negative vacuum on the engine while its running, As to say if it had a leak in a valve cover it should not be leaking while its running, only when the engine it turned off.

Hope this tip guides you in the correct direction to solve this problem.

R/
David

Make sure when you put the filter on that there's not a piece of an old gasket sitting there. That will prevent the new gasket from sealing.

error codes 1131 and 1151 say : Lack of Upstream Heated Oxygen Sensor Switch Sensor Indicates Lean - Bank No. 1 (1131) and 2 (1151).

a lot of causes are possible:

* Short to VPWR in the harness or HO2S
* Water in the harness connector
* Open/shorted HO2S circuit
* Corrosion or poor mating terminals and wiring
* Damaged HO2S
* Damaged PCM
* Excessive fuel pressure
* Leaking/contaminated fuel injectors
* Leaking fuel pressure regulator
* Low fuel pressure or running out of fuel
* Vapor recovery system
* Air leaks after the MAF
* Vacuum Leaks
* Improperly seated engine oil dipstick
* Leaking gasket
* Stuck EGR valve
* Leaking diaphragm or EVR
* Oil overfill
* Cam Timing
* Cylinder compression
* Exhaust leaks before or near the HO2S(s)

the idle up and down is because the electronics ist stuck in a try to compensate, overcompensate, reset cycle