I had a DUI back in 2006. It was my first and only and like you, I felt depressed and scared. The thing is, it gets better. You will get through your sentence and while it will be very inconvenient and costly, you will come out the other side.
Unfortunately, my DUI didn't stop me from drinking except for a couple of months. It took me another two years to finally decide I had enough. I hope you will learn from this and do whatever it takes to stop drinking. (((HUGS)))