Headlight motors start running when you shut driver side door. on 1996 Pontiac Firebird

Car has been running fine. Yesterday went to start. Nothing; acted like battery dead (has a brand new battery). Went to jump start; nothing but headlight motors ran for a few seconds and then an electrical burning smell. Then acted like wanted to turn over. Now it will do nothing but when you open and close the cars doors the headlight motors will run for a few seconds. It
seems to possibly be electrical but don't know where to begin. Thanks for any help!

Asked by for the 1996 Pontiac Firebird