It would be nice if you wrote something like {???'s POV} at the top, I went back a couple of times to make sure that you didn't write who it was, as it was quite confusing. If you specified the POV that wouldn't happen, even if it is a unknown POV.
Hope barbara hiding the fact that she is batgirl won't be a reason for a ridge between them..Its not like he told her he is black hood..But he still consider her to be the most important person to him..Can't wait to find out who his teacher is going to be.