RE: Glue
Basically any glue will work for a part with a large surface area. I would use Elmers like recommended above. Its cheap and pretty light. When you try to glue parts without a lot of surface area, thats when you run into problems and need stronger glues like epoxy or those that penetrate like the polyurethane glues and thin CA.
Just to remind you, if the foam has a covering on it (like most foam planes come with) you need to try to get that off and glue foam to foam and not covering to covering. That joint will be much weaker.