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Looked at the end of the video that you linked to, and can see how difficult it is to see anything without removing the silver panel. That panel is probably attached with butyl (sp) tape/sealant.
Is the glass lose on the rear attachment in and up and down or in and out (towards interior and away) or to the front of the car or the rear? Am trying to guess if you can see if the window runners have become damaged or the infill have torn so the glass has extra movement.
So I took the panel off. I can see two holes about half way down and can see the regulator raise and lower. One end seems a bit looser than the other but they both go up and down happily. The glass lowers into a little rubber clamp and seems firm in the front clamp but less firm in the back one. However when I put the glass in as well as it will go and then try to raise the window it just makes an awful clunk as though it's going to send rice grain sized pieces of glass everywhere.
I could raise the regulator up to the top position but wouldn't be able to see the little rubber clamps it slots down into (seeing as there's some give in one of them. For now I'm just providing entertainment for the neighbours.