Welcome Jeff. I'm about 2 years or so Into sobriery myself and also have anxiety issues. I had far worse anxiety drinking, and it did improve, but it never went away completely. I have been seeing a counselor and trying a lot of different things that seem to be helping . Have you seen a counselor for your depression and anxiety or did a GP prescribe the meds? Either way, maybe time for a change?
I can guarantee you that drinking will make it all worse though.....and I speak from experince. You would be amazed at how quickly it gets bad once you open the door again.