Considering you're only 3 weeks into this relationship, these are a lot of red flags!
I would personally run, not walk, away.
Sounds like he's a bit co-dependent, insecure and desperate to be in a long term commited relationship. Did he recently get out of a long-term relationship? Maybe he has forgotten how to casually date?
Early on in a relationship he should be taking things slowly, getting to know you, not seeing you every day, etc. It's also probably a little early for him to not only be meeting your Mom, but especially to be asking to spend time with her.
He sounds a little desperate for attention and almost obsessive about being with you - that is not the same thing as love. You combine that with alcohol and it gets worse.
You didn't say what presipitated the rudeness (other than alcohol), but either way his actions were inappropriate.
If you really like him and want to make things work, you need to be really frank with him about what you want and need, and let him know gently that he's smothering you and to back off a little and let things develop at a natural pace. Sounds like therapy wouldn't be a bad idea either to get to the root of some of his issues that clearly have nothing to do with you.
Unless you have those deep feelings though, I would probably end this now, as it will probably get worse before it gets better.