Thanks for the answer!
After I posted my question, I tried if the joystick worked on my other computer where I also have X-plane. But it couldn't detect it there either. So I was starting to suspect that it was my joystick who was broken, not the game. Now, I have tried it in a couple of other games and no one could detect it, so I guess that it´s broken.
It´s actually celebrating 20 years soon so maybe its not so strange that it broke down ;)
So, well, its time for me to start looking for another one...
Anyhow, thanks for the answer again!