Yes, very normal for these things to occur early in recovery. It's called withdrawl and it may take awhile for your body to completely clear itself of the cravings for it. Relax, your doing fine (even though it may seem like it isn't). Your mental obsession with alcohol is the result of your alcoholism and will get better in time. If you keep going to meetings, get a sponsor & a Homegroup, and keep doing the next right thing; the desire to drink will be lifted. Reading the Big Book may help to give you helpful insight as to the nature of Alcoholics Anonymous. i stongly encourage you to get a copy of a little book called Living Sober. It is written very simply and easy to understand. Another good one is As Bill Sees It. This is a book of meditations from the lifelong experiences of Bill W.
Congratulations on staying sober another day and remember, Easy Does It!!