Good question..yes. Most patients with atopic dermatitis or eczema, have regular nasal allergies, and many have asthma as well. Allergists prescribe immunotherapy for those conditions, and often the atopic dermatitis improves. There have been less studies on immunotherapy for atopic dermatitis than for the other two conditions, so the proof that it works isn't quite as strong. It doesn't usually hurt to try, carefully.
Not specifically. Allergy shots are not indicated for treating eczema however when a person starts allergy shots for their nasal symptoms often they will remark that their eczema has been better controlled as well.