Hi Nicola
My active electronics knowledge isn’t strong enough to help you track down a faulty component on the preamp board. Sorry. A couple of things worth checking though.
First is to check or even replace the battery clip. Because it’s handled and pulled around a lot, these fail pretty easily. I’ve found more than a few preamp problems that were down to loose or troublesome connections on the battery clip.
Related, check the 9V connections on the board to ensure, it’s actually getting power when the jack is plugged in. I suspect this isn’t the issue because you’re hearing some noise but it’s worth checking.
If it’s neither of those (off board) things it looks like being a preamp component and things get more difficult (for me, anyway). Is the noise you hear consistent? Does it change if you adjust any controls? Does moving or (carefully) tapping the board with something non-conductive cause any change? Same question for any pickup, battery, or jack hook-up wires. Can you hear a clunk if you tap a pickup pole with a screwdriver? Is the noise random or repeating?