If you find yourself trying to quit and you can't, or if you have a desire to quit and you continue to hit the bottle, you've got a problem with alcohol.
I think worrying about the term "alcoholic" is kind of counterproductive. Just focus on your alcohol consumption. Do you want to drink less? Do you want to quit altogether? Is alcohol having a negative effect on your life?
If you answer yes, then now is the time to do something about it. Don't let it get worse, because I guarantee you that's exactly what will happen if you ignore it and pretend everything is okay. I thought I was invincible after not drinking for nearly half a year, and then one day I just fell back into my old habits.
I think you know there is a problem if you're posting here. Good luck on getting it fixed.