I am sorry that the rehab basically told you that you are responsible for whether or not your husband relapses. I would have to disagree with that statement. His drinking or his recovery are all up to him.
I understand how furious you have felt sometimes. I understand how frustrated and exhausted you must feel now. Support for you is very important. Many members here are able to get face-to-face support through programs like Al-Anon, SMART, Celebrate Recovery, etc. Some members just use SR as their primary source of support.
Vent away here any time you need! I hope you will also read as much as you can--especially the 'stickies' at the top of the forum. They contain a lot of great information! Please take good care of yourself!!