Welcome in H.M.C.
I have gone through your query regarding enlargement of tonsils and adenoids
wich are not responding to medical treatment, your kids are mouth breather indicating towards future complications as High arched palate
leading to crowding of teeth, snouring, sleep apnoea and finally COPD
Since your child is not responding to conservative treatment and to avoid future complication ADENOTONSILECTOMY operation will be wise choice.