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Hello! My name is Dr.Ehtisham. Welcome to JustAnswer. I'm reviewing your question now, and will post back with your reply momentarily.
The rashes you have developed are likely due to viral infection or some allergy
The fall in hair can be due to seborrhea
That need an examination
You should start an anti-histamine like Cetirizine to help with the rashes
Please do let me know if you have any other question
Have you got the thyroid functions tested and have you been examined by the doctor?
I think that if the thyroid functions are normal then it is likely a skin issue
Hair loss can be seen with Seborrheic dermatitis
Some nutritional deficiencies can also cause hair loss
So a dermatologist can evaluate you further
You are welcome