Hard bumps that feel like food is stuck in the back of throat. the back of my throat and tonsils have had pus pockets for about 2 years now.

They are: Probably tonsil at crypts that are normal that catch debris then harden and you can feel them. An ENT or a dentist may be able to help you remove the debris but it will just happen again.

Tonsil stones: These are common collections of trapped food and debris that get caught in the crypts of tonsils. The only permanent cure is to remove your tonsils.