I don't think you're being too picky. I rarely book to people with no reviews, new accounts, or people without verifications. If I do, it's for no more than 2 or 3 nights, and I will not, under any circumstances, book to someone without a verified government ID.
AirBnB does not reveal a guest's last name unless there is a confirmed booking. The way around the picture issue is to click the "See Profile" link. That should allow you to see the profile, complete with picture. that has always worked for me.