I am proud owner of a Fluke8020A in cosmetically good condition. Got it for cheap as the seller on ebay mentioned some issues measuring current- like "you have to plug in sometimes several times to make it work".
The test leads are probably also the same age like the DMM, but are working. I disassembled the device, and internally it looks fine, the 4mm jacks are rock solid soldered to the PCB.
I will still have to use it under test conditions to determine whats on it, but in this case I would suspect some oxidized switches.
Question here: What is the best way to clean them, as they are not really disassemble-friendly?