Why are YOU embarrassed?!? You cannot control what he drinks and what he does. He needs a come to Jesus conversation where you need to decide what you’re willing to put up with and what you expect from him.

So, yeah... That definitely sounds like an "alcohol problem". He's getting blacked out drunk if he can't find the bathroom. And you shouldn't be embarrassed, it was your bf's decision to drink to that point. Maybe you can talk to his dad and have an ally. You could both sit him down (when he's sober) and discuss this problem with him before it gets worse.