convertible top :
1. do the windows go down when you open the front of the top ? ( ignition on, windows up, turn D handle and push up on top )
2. have you checked the cargo switch ? ( drivers side trunk where the rod fits in the socket )
3. have you checked the top unlatched switch ( right above passengers ear )
4. have you checked the trunk latched switch? ( part of the latch assembly )

doors won't lock unlock :
1. only with fob, or both with fob and panel switch ?

NOTE !!! Fuse 9 in the underhood fuse block blown will cause BOTH of the above conditions.

auto open gas cap - you got me on that one. new feature you added ?

radio won't go off: no clue