Welcome to the SR family!
Please make yourself at home by reading and posting as much as needed. There is lots of wisdom in the permanent (sticky) posts at the top of the forum pages. Some of our stories are included in those posts.
I'm sorry that you are hurting as a result of a recent break-up. All losses leave us grieving and emotionally wounded. Please be gentle with yourself and give yourself the care you need to heal.
In your post, you ask about what you should do next.
Allow me to ask that you look at this relationship without the alcoholism:
Your boyfriend has asked you to step back. He wants time and space to work on himself without a relationship partner.
Can you give him that?
During this time apart, can you do something to take care of YOU?
Alanon would be a great source of support for you as you have a history of alcoholism in your own family.
I found the meetings and literature to be very helpful in my own recovery.