Door Open light turns on Clock turns off problem
 

I have this really weird problem with the clock.

#1 My clock only turns on when my engine is on.
#2 My clock turns off and resets everytime the door open warning light is on
#3 Everytime i turn the interior light on the door open warning light turns on and my clock turns off.

bad room fuse and or mis-wired radio and a bad room fuse

and the clock should be on when the key is in the ACC or ON postions