Begin by staying sober. The longer you stay sober the better you will feel and the more your family will recognize and appreciate the efforts you are making to stay whole. This takes a long time. It is a long road back but you are young and can turn things around. Take it very slow and don't expect changes overnight. I understand your mom's love. She knows the alcohol buried the goodness that was inside you but she also knows it is still there waiting to be nurtured. She believes in you and now you have to believe in yourself.

Try AA, if you don't stay at least get some books there. The books are helpful. Read as much as you can about alcohol addiction. The physical & psychological connection. Education is key to overcoming this insidious need.