Yes I think this is normal and sounds consistent with PAWS. I had that last go around in 2014 and it was horrible (depersonalization, dizziness, panicky/anxious). Starting shortly after the three month mark I started to feel much better.
This time around (yes I'm stupid for drinking again), it hasn't been as bad but my anxiety is still there and some depersonalization.
Just hang in there; you can get through it!!