I would use one of the silicone glues like Plumbers Goop or 100% Silicone for this.
Epoxy is probably the only thing that would stick that combination.
I've often glued wood and polystyrene parts with epoxy. It works well with dis-similar materials like that.
My advice would be to use "model Master's" clear parts cement and window maker glue which goes on colorless and dries completely clear. Hope this helps.
pva
You use wood glue for sticking pieces of wood together.
Wood glue ANS 2 - I would use yellow carpenter's glue
If it's polystyrene use poly glue if other parts use epoxy or super glue.
You don't actually use the orange peel as glue. You use the orange peel, which is acid, to melt polystyrene, which is sticky and a good source for glue.
Possibly, but I would try a silicon type glue first.
you have to use the strongest glue like the plan glue
You need polystyrene glue, commonly available in model store or hobby stores.
Yes, I believe so. You can use wood glue on foam.