Welcome to the world of 50 yr old tech!
First step in your debugging would be to unplug the mixer, plug a mic straight into the Teac, record and then listen to the headphone outputs. Check each channel. Check the four line output into an receiver or amp. Do those work? If those don't work, then you need service on the tape deck.
Once you know you have a working tape deck, THEN and only then, move on to checking the channels of the Model 2.