It was normal for me.
At a month, I no longer was dealing with much physically but I started to feel the responsibility for facing the consequences of my choices for the last decade. Oh yeah, and I now have to learn to live sober and live in the real world. So yeah, I was overwhelmed.
But there are things you can do while you feel this way (it won't last forever).
Exercise as you talked about.
Lots of water and healthy eating.
Reading.
Tackling one thing at a time, each day.
Talk to other alcoholics.
Helping others.
And yes, talk to your doc. Your body is going through a lot of changes right now.
Nice to hear from you!