Hi, many thanks for the query!
After completion of treatment for TB, those nodes will persist for sometime & will gradually decrease in size, so need not worry.
Throat nodes are due to infection in throat, pharyngitis
...for which you should show it to your ENT surgeon & start anti-biotics effective in that region (throat) like Azithromycin
as per your doctor's opinion.
Wish you a good health. Take care.