Check the ground(s) of the selector switch.
You said input from tape monitor works fine. This means the preamp and power amp sections are good.
The tape monitor switch is after the selector switch and before the preamp/tone/volume. Seems like the problem must be before the tape monitor switch (or, as I said earlier, is due to the tape monitor switch failing to open completely when off). If before the tape monitor, that would suggest the selector.
Problem is all sources, so it is not at the inputs. That leaves the selector, I think.