Yes, it's worth the fight!!!!!! I fought for it so many times, across years really. And you are not junk—you just feel that way because of your alcoholism. It's the problem—you are the solution!
I think you need to be mindful that there are huge highs and lows early on; don't get so caught up in the highs that you're not braced for the lows. Just my two cents. And my best tool of all is gratitude. Even on Day 1, when I felt like I had very little to be grateful for, I realized I should be grateful just for having another chance at freedom and peace.
You can do it—and you are worth it!