So I've replaced the burned Molex connector for Anderson PowerPlugs and although it looks nice, it didn't change anything.
So I started measuring from the battery, through the voltage regulator, through the bulkhead disconnect and through the fuse box.
12 Volts at the right hand side of the fuse, 0 volts at the left.....
Replaced the fuse and the oil and brake lights came alive!
Also, the pointer of the fuel gauge moves a little bit, but not enough, the fuel tank is full. I tried the trick with the battery cell, but that didn't work.
That tells me that the gauges aren't faulty, I just have to check a bit more. Starting at the sending unit and the multi connector at the back of the instrument panel.
Still, I'm happy with the progress I made so far.
Thanks for all the useful help guys!
And someone also messed up the seat belt interlock unit.