You have to make sure your son stops the cycle of itch, scratch and bleeds. Eczema
is still probably not under control and will not be helped if he has allergies to (say) house dust mite, cockroaches etc.
worsening eczema is smetimes the case and the evidence is more for eggs and milk apparently making eczema worse.
I hope he had a skin test to prove the food allergies in the past. If yes, he needs to be retested for aero-allergens such as dust mite, pollens etc that may be worsening control of eczema.
rarely persists into adulthood and if you ensure his eczema is controlled and tested for other allergies, he may eventually outgrow his egg allergy.
He needs extensive counseling regarding the eczema, how and what he can do to control it (such as avoiding soaps for washing which dries the skn and leads to itching, that he scratches and bleeds); moderate strength steroid
creams, lots of moisturisers, even tacrolimus cream for face and neck that his Allergist or Dermatologist
Once the eczema is under very good control, skin tests will help determine what is going on.
I hope that was useful.