I had issues in the end while trying to let the display snap in completely into in the frame. On the left side everything was fine, but on the right side I found a small bracket had become loose and blocked the counterpart of the display: one of the small rectangular hooks that should snap in that bracket. I fixed the bracket in the correct position with a micro piece of the old adhesive stripe while mounting the display.
yes, you are right. Just take care and not damage display cables etc. while fighting with the adhesive stripes
I managed to remove the battery without disconnecting and removing the display first. This avoids possible difficulties in these steps (see below).
One has to be careful that, while fighting with the battery strips, the display remains in its 90º position