Thanks. I have checked on the LCD - after several attempts it still shows that the camera is on the 1st shot - so no shots taken (and I was trying it in complete silence - I would have heard that)
So it seems that the camera has the infamous problem. For me it means that I will send it back (have a return warranty). I have read the procedure how to repair it (I am already subscribed to that thread
), but I see no point in taking the risk - I payed bit over 300 € for the thing, I expect it to work.
I will play with the camera a bit more (get the film out) and re-thing whether I want to get another one or not.
Thank you again.