Anything oral I can give his itchy mosq bites on his skin for now?

Mosquito bites. Treatment for insect bites and stings include: skin cleansing, cold compresses, oral antihistamine medications for itching:diphenhydramine (benadryl), corticosteroid creams for itching:1% Hydrocortisone cream, oral antibiotics for skin infections, tetanus immunization.
Antihistamines. Sometimes antihistamines like Benadryl (diphenhydramine) can help with itching from bites. Also, you can try small doses of Ibuprofen to help with the inflammation and irritation. Ask your doctor or pharmacist for the appropriate dosing amounts.