He’s trying to overpower you and sweep you off your feet. He is not in love and is not falling in love after 3 weeks. And even if he was you wouldn’t be ready anyway. Like you said, you just filed for divorce, are still legally married, and you want to be carefree and have fun. Stay focused on you and what you want. You can still date him if you want to but I’d add a couple more guys to the roster if I were you. I honestly don’t think this guy is being sincere. Men love freshly divorced or recently filed for divorce women because we are somewhat wounded and inexperienced with dating. What he wants is completely secondary to what you want.
I cannot tell you how many women have posted a similar scenario to what you described and like 99/100 times it crashes and burns and turns out the guy was a narcissist, a cheater, manipulator, etc. So be careful. After just 3 weeks he is essentially a stranger to you and vice versa. Men like this have to move quickly and lay it on thick so that they can get you under their spell and have their way. A sincere man will not be trying to run game on you or overpower you. Quickest way to see if he’s a healthy guy is to say no to him, to say this is going too quickly, slow down. His response will be telling. My bet is that he will get angry, disappear, or continue to do what he has been doing despite your request. A healthy guy will back off and actually try to get to know you, make sure that you feel safe and comfortable.
I read an article once where this newly divorced woman got conned by this guy and she said he later told her he just couldn’t resist because she was like an innocent kitten sitting in the middle of the jungle. Beware of predators.