Hi,
What is your age? What other symptoms do you have? Have you noticed any abnormal features on breast self examination like a breast lump, nipple discharge , skin changes etc?
Apply calamine lotion to hep soothe the itching. You should wear lose clothes and take oral antihistamine medications and see if it helps with your symptoms.
If your symptoms still persist after a few days, it would be advisable to consult your doctor and get a clinical examination got done.
The breast itching and hair loss do not seem to be related. You could consult your dermatologist for your hair loss problems.
Let us know what your doctor advises and also post us if you have any doubts.
Regards.