Ok, the problem seems to be fixed for now.
I think it might indeed be my fault. I didn't support the guide rail enough and was cutting small pieces.
I also have a smallish problem with the clamps that hold the guide rail at a certain height. The handles don't fold as fluently as I would like. When pushing down they get blocked and I have to pull them up while pushing down so they can be closed completely. Maybe this had something to do with it. Because I need to use a lot of force, they might have been a bit crooked in relation to the table. I tried unscrewing the adjustment screws, but then they don't clamp at all.
Thank you for your help,
Jan