R.
Your doctor needs to read up on things. Yes, she can have
allergies that young...remember the learning to eat pureed
food and doing same food for several days to make sure
not allergic to? Applies to pollen and dust in the air
too. You can look at over the counter allergy liquids
for little ones and have pharmacist read and recommend
a dose. It is not a habit, it is annoying her to have
an itch. And she is scratching/rubbing it.