Swollen tonsils for 3/4 months, no white spots or pus, but very painful, came back clear of strep and glandular, could wisdom teeth be the cause? Or?

Infection. The tonsils can get chronic infection quieting down with antibiotic use and then flaring up again. Adenoids are also usually infected and thus the name t&a for the surgery usually performed after thorough exam by ENT specialist.