6 year old autistic son

We are interested in homeopathy for our 6 year old son. We have done various biomed treatments with varying degrees of success. I'm interested in what homeopathy may offer our son. He is ultrasensitive to meds and supplements, has digestive issues due to autism, sensitive to gluten and dairy for which he is on restrictive diet. After diet implementation his behaviors improved, with infraction behaviors are increased and he can't sleep, as long as diet is kept he sleeps soundly. He has issues with yeast overgrowth and his behaviors are aggravated by food sensitivities, dyes, sugars, potatoes. He will run to and fro and hit the walls, and then get overfucused on play or computer. His interests are very limited. He is ritualistic and likes to watch certain videos over and over again. He locks doors obcessively and is sensitive to light. He is afraid of the sound of vacuum and hair shaver. but his sound sensitivity is limited to only these items. He is social and likes and has interest in others. He laughs and likes to be tickled. He does have some unusual/odd behaviors - he likes to touch peoples feet and play with inappropriate objects like a toilet plunger. Otherwise his interests are normal for a boy his age - cars, planes, trains etc...He is very limited in speech and only strings a few words together on occasion. He craves foods constantly. He is a big eater...and this seems to be food obcession (maybe yeast overgrowth). Always looking through cabinets for snacks, anything to eat. ADHD, ADD runs in family (particurlarly father's side), also alcoholism/HBP from father's side. Mother's side - autoimmune/allergies, acne, headaches, back problems, weak/aching joints, arthritis. Father is strong sanguine personality/Mother more passive. He seems to be strong willed and determined, although he has a very gentle sensitive side. He loves animals and takes great interest in our dogs. He seems quite bright despite his autism. He seems to get frequent colds/runny nose - may be allergies. Bruises easily. Will often run and fall because he is going so fast. Although his fine motor skills are good.