0vac across both the primary and secondary of the input transformer: it seems like might be a relay issue. I missed if any of this has been mentioned already (apologies if so). Focusing on both of the relays here:
Is VR1 adjusted correctly? I think so but asking to be certain
If there's no signal applied to In+ and In-, continuity measurements on the input relay K1 are valid, when the unit is powered up:
Apply power, switch the unit in (meaning where it should be processing/eqing the signal), and check continuity between In+ and pin 8 on K1, and then check continuity between In+ and pin 2 on T1.
If you wish you can repeat the same test between In- and pin 9 on K1, and In- and pin 5 on T1.
While the unit is in the same state, check continuity between Out+ and pin 9 on K2, and again between Out+ and pin 4 on T2.
Edit: apologies again if this has been conclusively tested already. I'm unclear on whether this was done to completion.