Guys, Would a guy who loves his new girlfriend keep tabs on another girl (secretly watching her, asking people about her etc.)?

There is a guy who used to have a crush on me and keeps staring at me. He knows I’m attracted to him too but apparently he recently got into a relationship with a girl he posts on insta. He keeps staring at me when he thinks I don’t notice, listens to conversations between me and my friends and every time he leaves the room he takes one last glance at me from afar. Why does he act like this if he is happy with his girlfriend.

Maybe
No probably not
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Guys, Would a guy who loves his new girlfriend keep tabs on another girl (secretly watching her, asking people about her etc.)?
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