HI, welcome to AK
YOU are very welcome to (re)post your question as a new thread....
Probably the best place will be the Pioneer forum.
Without the relay engaging, you will need a DMM to read voltages inside.
IF you are not comfortable with this, it is tech time, BUT if you ARE, we'll have at it...
If the lamps and fuses are ok, we gotta go deeper in the unit...
If you're game, we need to get a schematic....
The protection circuit will engage, i.e.not pull in the relay for a variety of reasons, first we need to read the amplifier output dc offset, and it will have to be before the relay interrupts the circuit. Next will be to look for any heat stressed parts that MAY have either UNSOLDERED themselves or broken the solder junction, usually in the power supply... then check the power supply output voltages.... this has happened before.