He was not "checking her out". If he were doing that, then it would have been barely noticeable on the footage. He was following her, which is disturbing stuff. If some old dude were following me around, then I would be very scared for my safety. Checking out a pretty girl is normal, purposefully following one is very suspicious and very abnormal. I once had a guy do this to me when I was drunk and it left me shaking and in tears by the time I made it to my car and drove off. I think he probably thought he was just "checking me out" but I thought, "this man is about to rape me".
Following a woman around is very, very sketchy to me and ain't no one here going to convince me otherwise.