Epoxy is probably the only thing that would stick that combination.
I would use one of the silicone glues like Plumbers Goop or 100% Silicone for this.
I've often glued wood and polystyrene parts with epoxy. It works well with dis-similar materials like that.
Possibly, but I would try a silicon type glue first.
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.
You need polystyrene glue, commonly available in model store or hobby stores.
Use wood glue for wood to wood, to glue a cabinet back together you need to remove the old glue so that you have a clean wood to wood contact if this can't be done you can use epoxy glue, go to your local hardware store ask for help and tell them what you are working on and they will help on the type of glue you need.
pva
Any wood glue will work great for hardwood floors, but make sure it's compatible with your wood type.
You use wood glue for sticking pieces of wood together.
White glue or yellow carpenters glue will both work.
Wood glue ANS 2 - I would use yellow carpenter's glue
Many companies make "wood glue", specifically to be used on wood projects. Buy a good brand, such as Elmer's Wood Glue.