So am I an alcoholic, and will I be welcome in the AA or seen as someone who does not have real issues as I have not reached that stage of alcoholism yet?
I don't know what 'stage' of alcoholism you have to reach to ask for help in stopping, but waking up in a cell out of a blackout and all bruised up sounds to me like a pretty advanced 'stage' of alcoholism.
Yes, you can go to AA. The only requirement is a desire to stop drinking. But I wouldn't worry about being better or worse off than everyone else, your drinking habits sound pretty out of control to me. I would say that now would be a good time to quit drinking before something much worse happens.