OK, mine is now working again without the spikes. I still have to order a new relay and replace it before closing the cabinet.
@Renan: If you want to repair the PSU, I will try to help you as much as possible, at least I have a working unit now and can give you some measurements.
First I would check the voltage of the aux supply. They are carried from the rectifier board to the mainboard with the ribbon cable (in the photo top right), the aux voltage of the low voltage channel should be the two left most cables seen from the top. If you turn the unit around and look from the bottom side, the aux voltages are as follows: channel3: GND, -9V, +9V, channel1: GND, -9V, +9V, channel2: -8V, +14V, all measured against ground of the according channel (1..3 from left to right on the front face, 2 being the low voltage channel). All channels are isolated against each other. The aux supply is a simple bridge rectifier with a storage capacitor and some bypass caps. If you are *very* unlucky, the transformer could be damaged. In that case there is some spare space in the cabinet to install another transformer with about 16V AC.