I replaced the connectors with flexible shrink tubes, but I left the tie in there (photo follows on monday). An ohm-test between the two cables looked good. I will have a look, if there is some damage to the cable already. But still I would assume if that is an issue, the problem should change to the other cylinder when switching the ignition cables, shouldn't it?
I changed the black box because I read of the low voltage problem and she was hard to start at all when not constantly charged by a battery charger. The starting is definitely better now but looking at the photo of the plate I regret that I didn't buy a set to be honest.
As I said I keep you updated with harder facts on monday.