I'm curious about the microphone: why Do an inverter need one?

I can't find any visible damage, however the construction looks very nice

Can you power up that beast?
You could measure the voltages. I can't find any voltage test points; if there are no test points, you could measure the voltages across the (smaller) caps.
The are some voltages which are common:
On the digital Board: 1.8V, 3.3V, 5V
For analog stuff: +-5V, +-12V, +-24V
For example if you measure 3.1V on one cap, then it could be a problem there, which you can investigate.
Please keep in mind:
It's very dangerous to dig around inside disassembled devices which are connected to the mains. 