At the moment I do not have the IN-2 here with me, so I was going through a standard guitar cable, and you are right it should be a stereo one, even if ring and tip are soldered together, otherwise I was shorting one of the pick-ups. When I fitted the new switch I missed the stops, hence it goes round in circles. What I found some minutes ago, trying to make pictures from the connections is that there is an earth flat copper foil, glued to the bottom of the cavity, connecting the back plate, and to the switch. But it does not get there, as it is completely smashed and rotten. So I wonder if by making a piece of stranded sleeve going from the pots chassis to the switch chassis, the noise will simply go.
I will try all your test recommendations, but I need new batteries also, as they are quite weak.
thanks everyone.