Won't stay running

Do you have normal fuel pressure at the injectors ?

sounds like a possble bad egr valve stcking open or then clutch in the torque converter is staying on

It could be the crank position sensor or a faulty fuel pump

If it is a 3.8 engine change the crank sensor,they go bad on the 3.8 engines.

Cleaning the fuel lines by air and blows air on fuel filter. cleaning too the spark plugs will do good for your saving.

If your check engine turn on, some fault code is stored in the PCM; I suggest scanned the PCM to know exactly what fault code is stored there and diagnotic tips.

Some Autozone or AutoShop tieh OBD Scanner Readers make this job for free (sometimes).

It won't die when pulling the relay because it has another power path to the fuel pump through the oil pressure switch . Fuel Pump Electrical Circuits Description and Operation watch this video on fuel pump control , shows chrysler first , ford ,then gm . wait for gm an he explains the oil pressure switch . Plus when it won't start ,don't guess or theorize ! Test what's missing ? check for spark , no spark check ignition system , coil's , ignition module , crank sensor etc... has spark ,do a fuel pressure test etc... don't think computer , when it won't start does the check engine light come on with the key on run not start . If light is lit ,nothing wrong with the cumputer . If want to fix cars you really should take some automotive classes . Test don't guess .Watch some other videos crank no start videos etc...

fuel pump and or filter is my first guess

if you can get the car started again and with someone helping you have them take the positive side of the battery cable off while it is running and if it dies then it is the alternator also check your drive belt and when was the last time it was changed because it could be slipping

it sounds as if the ais motor isnt working properly and may need replaced. it bolts into the rear of the throttle body using torx headed t25 screws