"he's a little too assertive for my liking, but whatevs"
"is it technically date nr. 2 or 2.5 or will that actually be the third?"

Yeah if you're panicking over some guy you don't like and am still overly ambitious to date him you're just going to get slammed by his dick for 5 days and then hate him afterward. After the 2 hours youve spent with him, sounds like a relationship with a lot of potential depth extremely grown up and i'm sure he feels the same way about you and doesn't want to just jizz on your toll house cookies after a few minutes and then attend another 'meeting' with a girl a few blocks away. i wouldn'd be considered by your maturity level or anything