Congrats on Day 13! Imo the concept of needing to hit bottom to get better is an excuse to drink...you don't need to do it. There was a thread here about people getting sober on their first try...I would post it but I don't know how to from my Droid. Check out the link to "sobriety isn't always an option" then go to YouTube and watch "rain in my heart"....the only absolutely true bottom is when recovery is no longer possible.
If you feel you are weak, I read that to mean you are white knuckling this recovery ...maybe you need to change your program a bit. Figure out why you feel weak and do something about it.
Hugs!