Hello,
High prolactin levels can cause hair loss but it does not make the skin saggy and puffy. If you are having allergies then it may be due to the medicine and not related to high prolactin levels.
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.