I had the same thing happen to me and my 96' suburban. It turned out to be that the battery was shot and wouldn't hold enough of a charge to turn over the engine. Might be the same thing with you.
faulty solenoid.on the starter.
There are many different kinds of suburban radio problems. These problems include but are not limited to shorting of the signal.
check the fuses..
It's a wild, shot in the dark, but I'd guess the one marked 'RADIO'. However........the fuse for the courtesy lights can also kill a radio. At least it does on my '88 Celebrity Wagon.
check either end of the dash when you open the doors the fuse panel doors are the pull type
Most likely the battery is weak and dying. Enough voltage and current to make the solenoid barely engage (clicking in and out), but plenty of current and voltage for the radio and some of the lights.
If a 1987 Chevy Suburban has lights and horn, but no ignition, gauges, radio, or interior lights it could be a ground wire problem. It is possible that there is a short somewhere. Also check the dome light for a possible water leak in the headliner.
I just did this to my radio. You must remove the radio for the dash. Open the radio to reveal the circuit board and solder new bulbs on the board. I found the bulbs at Radio shack online.
There may be an issue with the relay switch going to the radio lights. There may also be an issue with the fuse.
check the radio fuse (rdo) under the hood, it should be 15 amps
I had this happen on an 88 GMC Suburban. Took a while to find it. Turned out to be a ground wire under the dash
open the passenger door in that fuse box
Most likely the battery is flat. Have you left the radio or any lights on overnight?
dash lights radio info center lights do not work all the time. change the fuse but that did not solved the problem
It is usually wired in with the radio or the courtesy/dome lights.
A pinched or crossed wire for a 91 Chevy crew cab plow could cause the lights and radio to not work. They could also be separate problems. Start but checking the marker lights fuse, then recheck all of the snowplow wiring.
There are many different kinds of suburban radio problems. These problems include but are not limited to shorting of the signal.
Based on all of the information given in the question, it appears that a defect exists, perhapsan intermittent one, either in the radio, or in the antenna, power, or speaker wiring to it.