I think that you're looking at an aftermarket dealer-installed radio and wiring.
In your picture, the lower plug is the speakers, and the upper is the power plug.
I can't remember the aftermarket radio brand, but do remember memorizing "yellow, red, white and blue" to be the positive speaker outputs starting at the passenger rear speaker, then going clockwise, with green and purple as grounds. The jumpered wires are the left and right speaker grounds. That's your lower plug.
The lower speaker plug is definitely aftermarket wire colors; the upper plug mimics the factory wire colors, but not exactly (example is the blue in the illumination circuit is way too dark). In fit and function, the plugs are compatible with OEM sound equipment.
Some pictures of the radio face, and any labels on the head unit, may jog my memory as to brand, but I'm sure that you've got an aftermarket "factory look-alike" radio. Hell, we're looking at what was put in the truck 36 years ago, so cut me and my memory some slack (plus, installers from that era were notorious as party animals). I'm thinking either Clarion or Automatic Radio ran those wire colors and plugs; there were several other aftermarket brands, such as Audiovox.
The aftermarket dealer-installed sound equipment at that time was designed to look like the OEM stuff. It didn't cost the car dealer near as much as the factory stuff, so it was very common at the time to be pre-installed by the dealer before the vehicle was sold; it was more profit for the dealer. The harnesses used in the installation kit would be accordingly sleeved, or bundled, to mimic an OEM install.
Whether or not you can get the radio to work, depends on what the problem is. Again, pics of the head unit would be helpful.