Don't try that. The old tape has no problems with adhesion (as you'll notice when you try to strip it away), but the foam backing material the glue rides on crumbles away.
The panel removal & replacement is described in the service manuals which you can download from the site as you're a silver member
They won't help with the repair though. You'll find the old tape attaches the glass to some plastic frames, and in an old kit you won't have problems separating them. The remains of the old tape will be more work, and the end result won't work unless you do it properly.
Whatever you do, leave the capacitive touch control fields on the underside of the glass well alone - no detergents, don't even touch them.
I think there was a very good description on specifically 4500 panel repair on the forum somewhere... perhaps someone with more attention span than I currently have can find it