From my experience, his actions are all signs of someone who is remorseful and wanting to make it better. No contact with the bimbo, ending all communication, ensuring you can check up on him to rebuild trust and doing whatever you need to heal is essential.
Please go to the website I offered above. Those folks can help with his so much, you won't believe it.
BUT they can't help with the alcoholism issue. That's what I came here for.
Good luck Sweetie and take care of YOURSELF!