The anxiety and racing mind are part of withdrawal. That should get better within a week or so. The cravings are a different matter. The psychological cravings are just my alcoholism talking, wanting its alcohol back. I had to fight off cravings to drink in the first few months by asking myself two questions: one; will drinking make the situation better? and two; do I really want to wake up tomorrow sick as hell and hating myself? I never had to ask the second question as my rational mind knew darn well that drinking would only make things worse, not better.
After several months I noticed I rarely had cravings to drink anymore. And now with a year sober, hardly ever get them and when they do pop up they're easy to dismiss.
Don't give in, whatever you do, or you'll just have to start all over again.