Schools are public buildings, and would be in major trouble with the dept of health if they let a bat colony into the commonly travelled school grounds. The chances even a non rabid bat are anywhere in the school, especially visible by day, are so slim you may as well worry about rabid unicorns, or yeti with distemper. What you felt was probably your hair, bookbag strap, or shirt collar/tag. Try to not worry too much. :)
It seems to be a bat phobia with rabies as the target. Perhaps working on overcoming the bat phobia would get rid of the rabies phobia too.