i suggest you to simplify the schematic.
My overtemp schematic don't need a comparator. You can put the collector of T5 on the 555's pin4.
Also, you can drive the relay by the 555.
I prefer to use the 555 as a "heart" of the circuit. Each protection will go on the 555, so the 555 drives the relay and the LTP's CCS.
The 555 is a delay circuit, so at start up will delay the CCS pull-down and, one second after, it power up the relay. --> the amplifier start to play music.
At shutdown, relay and CCS shut-off together, to prevent thump.
When one of the protection get ON, the 555 will shut-off by the reset pin, so the CCS goes off and the relay goes off.
It's simpler, because you remove the LM393 and some transistors.
Last thing: i suggest to use a trimmer (1k) in R19, for fine overtemp tuning.