dojoro only you can determine if you are an alcoholic or not, if you have not had a drink in a week then you are not experiencing cravings, cravings are part of withdrawal, you are in the mental obsession phase of recovery.
Keep reading the BB and take this test
Alcoholics Anonymous : Is A.A. For You? answer the questions honestly, do not sit and find a way to justify answering them in a manner that would reflect you not being an alcoholic.
Not every alcoholic will relate to every single thing in the BB, but a normal drinker will not relate to it at all.