I have a similar story to share - it was a second marriage for me also. I did break it off when I saw the problem and I too had vow not to get intertwined with an A. He got sober and came back - stayed that way until the honeymoon! He tried to hide it from me and when I found out from the bartender at the hotel - he told that he likes to drink - can handle it and I would have to deal with it.
Short version - five years later - multiple attempts to stay sober I kicked him out and had to divorce him to save myself from financial complications. Give it more time to see how it plays out - whether or not it is a problem - it seems to be one for you - that is all that matters. Trust your own thoughts/feelings. Think about what you would tell your best friend if s/he were in the same situation. It can better or worse - are you prepared for either scenario?