Help - Allergies for 9 year old

This is for my 9 1/2 year old son, who has been suffering from allergies all along. He is allergic to grass, tree, weed, dust, mold..year round allergies. Symptoms are itchy eyes, stuffy nose, runny nose...when it becomes worse it will lead to clearing of throat. The symptoms seem to get worse in cold. It's worse (ie on seeing bright lights. He suffers year-round. Usually it is worst when he wakes up. We have allergic matress case etc., humidifier, air cleaner/filter in his room. He had severe eczema, now only small patches behind knee/elbow. His immunity is less, he is very quickly prone to a cold, which very soon becomes congestion in chest. As a baby he used to have wheezing, has not had wheezing for 4 years.
We tried NAET (accupressure), some relief.

When he has the allergic symptoms, he is angry, whiny, less confident. He is reserved in the beginning, but has lot of friends. He enjoys going to new places. he is doing well in studies.

He has strong cravings for sugar, fatty food. He sleeps well. He is somewhat chubby. He drinks a lot of water.

Based on a recent skin test for allergies:
Tree mix 3++; bermuda 3+; Grass mix 1+; RW mix 2+, Engl. plantain 3+; weed mix #3 +-; dock/sorrel mix 2+; alt tenius 1+; fusarium mix 1+; aspergillius mix 2++; helminthsporium sativum 1+; cat 4+; mite farinae 2+; mite pteony 2+; cockroach 1; maple/box elder mix 1+; egg white 2; milk 1+; wheat 1+; soybean 3+; oat 2+; peanut 2+;

Father has hay fever during spring, mom has some dust allergy. My husband's nephew has very similar allergies as my son. No neurological disorders.

Will homeopathy bring relief to symptoms? Or will homeopathy actually cure him?