Q: Is the speaker relay opening immediately as power is removed (unit shut off)?
If yes, then you probably have a buttload of DC on one or both amp outputs. The pwr amp in this receiver does NOT have a DC offset adjust, so if the offset needs attention it will mean the replacement of the differential input pairs with a new matched set.
If no, but the relay does open after a bit of time, then the 'Loss of AC detect' portion of the protection circuit is not operating as it should. Some bad diodes, a bad cap or two, and maybe a bad transistor.
If no, and the relay stays shut, you also should be hearing sound as soon as you turn the unit on (when set to Tuner), and this would indicate a relay that is either jammed closed (due to some odd mechanical failure or intentional foolishness on the part of some 'tech'), or a previous output device failure fused the relay closed and it was never replaced.
If the protect circuit needs work, it's all of four transistor, three diodes, and three electrolytic caps. No biggie.