One possibility for such itchy rashes which come and go is hives. Hives (medically known as urticaria) are red, itchy, raised areas of skin that appear in varying shapes and sizes. They have a tendency to change size rapidly and to move around, disappearing in one place and reappearing in other places, often in a matter of hours.
Causes of urticaria include Drugs and Chemicals, contactants, certain foods, infections and systemic diseases. Take some antihistaminic like Benadryl or Zyrtec and apply some calamine lotion on the itchy areas. If the symptoms persist then you may need topical and oral steroids. Please consult a dermatologist in that case. It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your dermatologist. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.