Discomfort in throat (not really sore,) looks like tonsil stones in deep tonsillar crypt, red throat, swollen tonsils, swollen/painful lymph nodes?

Cryptic Tonsils. You have what are called cryptic tonsils. They have folds and holes in them that food particles get stuck in. You can gargle deeply or use a water pick to help get the particles out, but ultimately the treatment is to remove the tonsils. This is done if they are constantly or recurrently inflamed or infected, if one has severe bad breath.