Many people think bats are rodents, a sort of flying mice.
Bats are more closely related to humans than to mice.
If a pair of meadow mice survived a year, they and their progeny could leave a million offspring in a year. Bats are not interested in your hair. If a bat can detect a mosquito in the dark it will surely not blunder into your hair. Bats are not designated rabies carriers. They contract and die from rabies much like humans, cats, and dogs do.