Re: electrical problems...
The bad connection is probably in the Windows circuit breaker in the inside fuse panel. That breaker routes the power to the windows and the convertible top. You can verify that by swapping it with the Defogger circuit breaker next to it. These are available at most auto parts stores. Some folks replace it with an ordinary 30 amp fuse temporarily. If the new one trips out frequently, then resets after a few minutes, there is probably a partial short in a window or top motor.
1998 Trans Am, LS1, Automatic, stock all the way.