Cam disappointment...
Well, I had some time to play with my cam now and the results are... disappointment... After about one day, the display showed "Focus error" and the lens did not slide back into the cam after turning it off.
Of course, the seller on eBay insists, that it was working when he sent it to me.
Now I hope that the Fuji Support can help me somehow, even if it costs some more. Unless it keeps within the 100EUR range, it's still in the price range where it's available elsewhere on eBay.
Dammit...