Yay for happy hour!! It never hurts to meet new people, and it certainly wouldn't hurt if he's a hottie.
Good job on shutting down that line of conversation. He's just trying to bully you into doing what he wants.
I would still recommend less contact with H. A lot less contact. He sounds like a master manipulator and the less you let him work his charm the better. I will say this every day if I have to: going dark gives you the space to work on yourself and detach. If you are in constant contact then you never have that quiet mental space to figure out what you want.
Commit to absolutely no contact for 3 days and see how it goes.
If you love somebody, set them free. http://tinyurl.com/2empx2g