vinyl coating?????
You can try a LITTLE heat to remove some wrinkles... a common blow dryer for hair on med or low..... high will burn a hole in the vinyl. Be careful....
Its very hard to get the contact adhesive to restick... The normal fix is to apply a contact cement, or tojust tape it down with clear packing tape. When the contact adhesive covering gets looking too bad... strip the plane (hair dryer helps again) and re-cover with MonoKote or other decent stuff.
Note that the planes covered with this stuff can tend to have fuel seepage under the covering. its a heck of a mess to fix that.