Good morning Love. I must weigh in here.....
His " only drinking beer" is NOT working on it. It is however biding time. YOUR time. If he took anything that you said serious he would get himself some help, REAL help. Don't fall for it. It is not your job to seek help for him, that's his and ALL his. Your job is to look after yourself and your darling children.
Keep reading around, learn all you can on alcoholism for yourself, so YOU are empowered to make the correct dicisions from this point forward for YOURSELF and your KIDS. Don't look back, there's nothing you can do to change that. What you can do is move forward with knowledge.
We are here for you. Keep your head up.
Ro
P.S. Do yourself a favor and drop the whole marriage vow excuse. I don't see anything about honoring and protecting happening with his actions.