Any glue will do. It is best not to use glue sticks as that glue isn't very sticky. PVA glue, craft glue, super glue or hot glue would work well. The best way would be to use PVA or hot glue.
Yes, but it's not really worth it since you will be adding shaving cream. The lotion, shaving cream, and foaming hand wash will make the glue look white, instead of...
You can use silicone to protect and lube the rubber seals around your car doors, which helps free up sticking glass. You might have to use Q-Tips to get in...