Thanks for all the extra tips (I'm sure I would have missed the magnets if it wasn't for your remark!), it helped me get through the steps! I got the full repair kit, but the iOpener never got hot enough (it was always just warm to the touch in the middle, never hot, and when I heated it some more, it exploded. While it was "warm" it never managed to loosen any glue). However the hair dryer worked like a charm.
It took a lot of effort to remove all small glass pieces, but it was worth it, everything works as before again! All in all I think I spent 5 hours.
I hope my replacement screen will last longer than yours!
My replacement screen already had sticky tape on it, so I didn't use the extra installation adhesive that was provided.
