How can I reglue peeling vinyl wallpaper in my kitchen?

Hello everyone. I'm remodeling our bedroom and I'm not sure what to do about this 1 part. I was told our ceiling is a drop ceiling but it's different then any I have ever seen. They aren't panels that I can pull down. The squares are like glued together or something so I don't know if I should even go pulling it down. They are pretty soft material as well. There is trim however around the ceiling that I think I'm going to have to pull down sooner or later anyway. Maybe that's what holding the ceiling up? You can see in the pictures that I'm taking the walls down. So far I've just taken them up to the ceiling structure and am trying to figure out how I'm going to do this now. I was thinking about putting up some type of wide trim and then running the Sheetrock up to that and leaving whatever may be above the ceiling alone. Any ideas are appreciated and especially if you know how to pop those panels out. [url=http://img267.imageshack.us/i/cimg0046w.jpg/]Imageshack - cimg0046w[/url] [url=http://img101.imageshack.us/i/cimg0047.jpg/]Imageshack - cimg0047[/url]

We recently added a second level to our home, which resulted in our brick-faced chimney extending through this space and out the roof. The chimney encloses two flue pipes for our furnace and fireplace, and runs up, along an exterior wall, but in the interior space. The brick work is not decorative in the least, and therefore will be hidden with a stud wall and drywall. My issue is that I've got the framing for this wall up and insulated using unfaced fiberglass batting along with a plastic vapor barrier. Now however, I'm noticing moisture collecting on the vapor barrier in this area, as I've determined the bricks give off just a little bit of heat, which is enough to cause condensation to collect. The second level is currently unheated, and in Northern MN, it's not terribly warm this time of year, which likely isn't helping matters any. Any ideas on how I can properly correct this so I don't end up with moisture/mold growing behind the drywall once it's up? Would using rigid foam insulation make any difference, or will the same issues crop up? Thanks for any insight you may be able to offer!