Austin:
I've never worked on the 1202 but the signal path from the cartridge to the outputs is fairly straighforward.
Check the following:
1) RCA or DIN connector.
Take a an ohm meter (cartridge removed) and do continuity from chasis to each pin of the DIN or RCA cable. They should all be 0 ohms or pretty close.
I had a beogram 3400 with a muted channel. It turns out that the wire inside the molded RCA jack was broken. Wiggling it produced sound. The cure was putting new RCA jacks. You may have to do this or resolder the DIN connector if that's what's gone.
2) Check the muting relay. Typically beograms have some sort of muting relay or switch. Makes sure the reeds have not oxidized and is passing the signal through.
Do a continuity check from the tone arm to the point where the shielded output cable (ie rca or din cable) connects to the chasis. You may have to engage the turntable to get the mute switch to unmute. You should get 0 resistance. If you don't this may mean cleaning with a tuner cleaner or replacement.
3) Check to make sure that the edge connector is not broken/making contact with the cartridge.
Hope this helps,
Derek