"(i lock the passenger door with the latch and driver door with the key)."

Why? The FOB should do this. If the FOB is not locking / unlocking the car, you have a number of possible problems.

Can you raise the top as that would prevent theft?

Getting the car back to pristine like new condition may be expensive. I'm looking for an acceptable solution.

This is difficult because there is no know history for the car. How many people have owned it and what have they done to the car ?

Many questions; Please use the search box in the upper right corner of the forum and click here for more info trouble solutions

Welcome to the forum!! We would like to help. There are many inter related pieces to this puzzle. Have fun AND enjoy your Crossfire!

I wish I could give you a simple fix, but there are many possibilities: PLEASE read through the info that pertains to your situation. Perhaps you just need to close the top, lock with the button on the console and then exit the car?