Yes having you meet his family is a big deal. Do you think he's introducing you to his family so he can show off his future ex-girlfriend? "Hey Mom, check out this loser, I'm gonna dump her in a few weeks, she won't see it coming"
I'm not a mind reader but from what you're describing it does sound like he likes you but he's just doing a really bad job in the relationship. The fact he texts you throughout the day and then blows it in-person tells me he probably has social anxiety issues.
If I were you, see if you can...