Congrats on one whole month without a drop of alcohol Choosingrealjoy!
My blood pressure dropped significantly after I stopped drinking. I can't remember how long it was from exiting Rehab and my first Dr. appointment. I think it's always a good idea to keep in touch with your Dr. via appointments once you have stopped drinking and discuss any issues and concerns you may have.
Liver enzymes slowly decrease different times for different people. It depends on how long you have been drinking and how much you were drinking up to the end. Again, it's a good idea to see your Dr. every few months to have your BP and liver enzyme levels checked.
Congratulations again!