I've read this entire post and did not see how soon is break up with her was to the start of your relationship with him... how much time passed in between? I don't believe there are rebound rules. We all heal different , plenty of people find the one after the one that broke their heart and there is no buffer period or practice attempts at relationships.
My problem would be is the notion that drunk people tend to speak a sober mind. Inhibitions are down and they are more likely to tell you exactly what they think without rationalizing how innapropriate it might be for someone to hear it. But on the other hand sometimes drunk people speak nonsense, jibberish and its some jumbled thought that doesn't really reflect what they think at all in sobreity.
You loving him and him being the one for you is not enough. You do need to feel like you are the one for him or you will be constantly filled with doubts and insecurities about his love for you.
I like the idea of giving it some time, there is no point in giving up if he makes you feel special and loved and happy... if he tells you you make him happy and he treats you accordingly -- why throw that away?
But you have to look out for your own best interests , you don't deserve to be second best in his mind to some girl who treated him like crud. I am not saying he sees you as such btw, I am saying you should not be made to feel that way.
He has to be giving as much as your giving and you guys meet in the middle, if you have been the one pushing the relationship along -- let him carry the weight for a while. At the very least it will give you the confidence that he's in it for the right reasons.

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