Hi Achim,
For me, the first priority is to copy your entire music library to an external HDD. I would not do anything else on the B2 until you have got that done.
Then, I would open up the B2 again and check that the Cat5 cable is fully inserted into the network port. It is a fiddly connection so is worth the check.
If the pevious step does not show any problem, I would procure a new microSD or SDcard (depending on which model of B2 you have) and build a new B2 software set on that. Brennan has supplied the instructions to do this build on the website, but here is the link in any case. Look down the left hand side of the web page for 'New SD Card'.
Alternatively, you can order a new card form Brennan; this will come with the B2 software already installed. Fit this into your B2 and see if the issue is resolved.
If that does not work, then it is likely that the B2 network port is faulty. The port is part of the B2 motherboard, so I think that the B2 would need to go back to Brennan for repair.
Another option is to remain on the WiFi link, unless you were having problems with that.
Regards,
Peter.