He's your boyfriend love, and a very new one at that.
Please don't give him any status he has not rightfully earned.
You have done the right thing, he's just inserting you into his life in the place of his ex and hasn't processed any feelings at all. You deserve better than that. You deserve someone who loves you for you.
DONT involve your dc in any of this, you're not sure who he is, he's not sure of himself and Mark my words, your dd will get hurt if she gets to know him and he ends up not working out.
It's not supposed to be this hard, it's not supposed to be this fraught.
The sex is good and I like hanging out with you means nothing more than he likes having sex, and he gets it with you.
The emotional emails are just a way to get this back, and he's not secure in himself to be alone.
I repeat. You don't want a man this unfinished. It's a poor example of a relationship for your dd too somehow. She deserves to learn what a good livening relationship looks like.
Meet the guy in a neutral place, don't invite him back, listen to what he has to say but make no decisions.
He has to do a lot of growing up and development. You need to demand more for yourself.