Hello,
Many conditions cause itchy skin as well. Skin conditions like psoriasis,dermatitis,lice,scabies and hives, internal diseases like liver and kidney disorders,diabetes, iron deficiency anemia, irritation and allergic reactions to chemicals,wool,soaps,cosmetics and certain foods can cause itchy skin.
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 doctor. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.
It's good you stopped the antibacterial soap and switched to Dove. Some people do best with the unscented Dove.
Instead of applying soap to itchy spots, you might want to keep a tube of Anrica gel on hand. It is a cooling gel that is an antiinflammatory. It might make you very comfortable.