This was after we saw each other for the second time. When he was with me, he wasn't very talkative, and acted very shy. He also stared a lot at me in my eyes, and studied my face for ages.

You tell us!
We don't know if he is an axe murderer, a playboy who reads books on how to seduce women by gazing into their eyes and acting shy, or a wonderful, sweet person who is falling for you. You will find out more bit by bit. It's MUCH too soon to know.

Is this the same man? https://www.askmehelpdesk.com/dating/will-hear-him-again-he-interested-767798.html

How do you know what he was studying when he was looking, perhaps it was sexual day dreams, not looking for age.

And wonderful is a term that can mean, thanks, I won't call again, or it can mean he had a wonderful time.

The issue first is, how was your time, what did you think about him ? Sounds like you did not have that good time??