I didn't actually need to peel anything at all. The screws would have been visible had I looked more carefully.

I couldnt get this cable off, so I skipped this step. If you have this problem, just proceed; when you get to step 13, lift the display carefully as this cable will still be attached. You'll now easily be able to grip the connector and remove it.

You can use a credit card. Mine survived, though it did get a little bent.