Elecrical Short/Ground Problem?

I have a 1995 Chevy Cavalier with 90,000 miles on it. Im am experiencing some electrical problems. After I turn the car on, some of the dash lights would stay lit after others would turn off as they are suppose to(AIR BAG light, ABS, BRAKE, and the SEAT BELT light). However, they would turn off when they want to. For instance if I where to flash my high-beams they would turn off sometimes or maybe one or two of them would turn off. And of course these same partucular light would go on and off when they want to randomly. Also, my radio would seem to shut off for a second or two and then reboot itself, also randomly, but lately it has been occuring more and more often. In addition, my cigarett lighter(i have a radar detector pluged in to it) would flicker on and off, randomly, and would later continue to stay on. Im not sure if it is a short somewhere, or if it is a ground problem, or the Body Controle Modual is screwed up. But thats why I turned to you. Please help. Thank You