Hi Mica
today I tried some of your recommendations. Yes, turning both of the volumes down, will make the noise disappear. Both pick-ups seemed to have the same kind and amount of noise. It's definitely a ground noise. I tightened all the pots to the bass body and surely the bridge pick-up volume knob started making ground contact to the chassis of the pot. Then I picked a piece of stranded shield and got it into the screw hole of the main Switch, forcing ground contact with the switch plate. This piece of wire went down the body of the bass, inside a plastic sleeve and, after a hard work, I finally got it to solder to the chassis of both the EQ pots.
After that I had the bridge pick-up silent and sounding good and the neck pick-up, noisier than ever. The neck EQ switch still does not make any contact with the ground. I was using the stereo jack with two 11k resistors. I will try to use the IN-2 tomorrow in the hope of finding some different results. Maybe I need to get ground independently from the common point on the stereo jack, to each one of the contacts: Switch, EQ switch and the EQ pot. Or as Dave suggested, maybe I need to repaint the cavity.
Thanks for your patience and your help.
Sergio