My 84 Trans Am had some sort of electronic meltdown on me, I believe the main computer unit may be the culprit?

As I was driving to a friend's house and was exiting on the freeway my car randomly jumped up to 4,000 rpms for no reason when it was on cruise control until i tapped the brakes to take it off. After leaving about 6 hours later i made it to the freeway and when I tried to use the cruise control it didn't work. As I toggled with the switch for a minute the radio started turning on and off and eventually shut off completely. Somewhere during this I noticed my dash lights were noticeably dimmer than typical. As I drove along the engine started pulling strange and seemed to be pulsing and when I looked at my rpm gauge it was showing me driving at 4,500 rpm's at 60 mph, I tried switching from overdrive to drive and to neutral to change this but it would just keep jumping up when I got above 60. After about 10 miles of this on the freeway and burning about a quarter tank of gas in the meanwhile I pulled off on an exit to let the car settle for a few and see what happened. When I turned the car off I tested the radio and it worked but when I tried to turn the lights on the radio died. The turn signals don't pulse anymore but just stay on. And the radio wouldn't even stay on if I tried turning the heat on too. When I tried to restart the car it started to turn normally for a split second and then starting doing a quick clicking. My current theory right now is that either the Com or the alternator is the culprit. Can anyone add anything to this because when it comes to the electric/ computer side to cars I know very little.|||Sounds like you have a charging system problem, or a battery on the fritz. All of your symptoms sound like low voltage. In these late model computerized cars, they must have at least 12 volt input to function properly. Have the battery and charging system checked. I'm sure you will find the problem there.