E.B.
My son who is almost 6 years old now and my youngest daughter 3.5 months and I have excema its such a pain. My daughter has contact exzema and it was mainly only on her face. come to find out she was allergic to johnson and johnsons head to tow soap the yellow kind. Yet shes not allergic to the blue bottle one.
try to keep some dye and fragrance free lotion on his face away from eyes and mouth and it should help. Best of Luck!
E.