Kenwood KAC-PS401m stuck in protection

I don't know what the problem is, it could be a bad cap but it's a longshot if you haven't seen evidence of bad capacitors.

Can you repeatedly power up the amp to get the voltages when the amp is playing? It's likely only one or two that are changing.

Are you sure that you aren't starving the amp for current?

How much does the current draw change when the amp is playing and when it's silent.