2007 aspen when i shut the key off the engine shuts off but the dash lights stay on like its on accserey

Yes it would. If there is no oil pressure then the computer shuts down the engine. I believe all cars have that security now.

actually your aspen would start then die out after about 3 seconds. if you have tried this repeatedly, Now it does not start at all (your ECU is now locked up since it thinks you were trying to steal the vehicle). The little red light is your antitheft system. Your remote head key has failed. You can find a locksmith that does these at www.findalocksmith.com or you can have it towed to the dealership for a computer reset and another key.

Electrical issue obviously. Check your battery connections and battery.

Could be any of several things. If the crank sensor is marginal and not sending pulses, the fuel pump is shut off. This is for safety. The pump is energized for a few seconds as key is turned in preparation for starting then engine must rotate normally to keep the pump on. If it stops, in a few seconds the fuel is cut off.

ok well this is where you might be incorrect... either you have a 12 volt wire bleeding scross or you have a bad ignition switch. the run wire off the ignition switch is the only thing that will keep it running unless you have a remote start then of course that could keep the engine running. you might want to start by making sure the ignition switch is beaking the signal to the PCM.

TAILGATE on 2008 chrysler aspen ...I can push it up and open ,with great effort...but then it won't stay open.....

You may have a faulty gas cap. If you are tightening the cap down securely the light will go off after the car is driven about 40 miles. I suggest installing a new gas cap which should cost about $15 at your local auto parts store. *** Please rate me on this answer.***

could be your alarm emobilazer thats stoping you from starting

Check the fuse box is not full of water.
Thet suffered from leaking windscreens, and it filled the fuse box.
If not, you are looking at a faulty ignition switch.

TL