Hello Krass,
Many thanks for the advice!
I'm waiting for some new belts that "should" be a little bit better, and when I will open it again maybe I can take some photos, just as future memories.
The roller it's quite a bit shiny, so it could be that it's mostly him the cause of the wow. I will try to understand how to change it. I mean, if I try to record a single constant tone, I can hear the "up and down" very clearly.
I tried different cassettes, both for recording and from albums, and regardless the problem is present, so I'm quite sure that is a problem of mechanic/used components.
I was thinking of trying to put some contact oil in the motor, but I'm not really sure that is a good idea.