Update!
The thing that is broken is called a drossel/filter. It is the left one that is broken. The nr on it is 3621 and the values is 3.5 mh 0.6 ohms. Not sure if anything is 100% accurate but found a page where a guy had similar problems. I think I inow what to do here on forward.
Thank you all for the great help!
What it is, is a couple of 2 way second order filters. So the woofer must be dual voice coil as it would otherwise, blow up any amp connected to it.
The high pass coil on the left has come off the base, and probably broken the coil wire.
So you need a 3.5 mh 0.6 ohm coil.
So each low pass goes to its own coil on the dual VC of the woofer. The high pass section goes to the satellites, which presumably has another crossover with a band pass and another high pass crossover in each speaker.
This is pretty crude engineering, and I would not have your expectations on great sound set too high.