The most likely thing that is happening is the protection circuit is sensing something is not right and it is not turning on the speaker protection relay. Rather than say, a bad relay coil. This relay is in place to disconnect the output of the amplifier in the event that something happens that will damage the amplifier or speakers.
Your first task will be to find a schematic.. And the first place i would look is to check the DC offset of the amplifier. Since the speaker relay will not engage you will have to check it before the relay. I wont go into too much detail but if you cant figure it out this may be beyond your scope.
Yes, the relay is doing it's job. Check you wiring. If the unit does this with no speakers connected then there is an amp with a failed output stage, that is causing the DC rail voltage to appear at the speaker terminals. If the relay did not do its job, then your woofers would literally smoke and catch fire.
You need a service manual, FET or tube VOM, scope and signal generator.
NAD = Not Always Dependable.
After checking, I find I have a service manual for that unit in pdf. on file, but it is too big to upload.
You can download it from the HiFi engine. I have worked on those before, and they are a real misery unit. It is a 35 watt per channel integrated. I suspect you are in the UK as they were aimed at this market.
If you don't have the equipment to work on it, it is not worth a red cent to have it serviced. I think yours must be just about the last one to have been running. I would bet at least 99% of those are already junked.