I dunno that it matters whether you're "addicted" or not. One thing IS for sure though, you're having issues related to your drinking that "normal drinkers" don't experience.
Whether you're an alcoholic or not is another question...and it's not one that can be answered by looking at the consequences of your drinking. When you start, do you usually want more......to keep going.......and is your experience that you usually DO keep drinking.......even when you planned to NOT drink that much? When you decided to lay off.....can you stick to it every time......or do you usually find a reason/excuse to pick up again? And finally, when you do manage to get/stay dry.....how's the rest of your life? Did the problems/issues in your life stop when you stopped drinking or does it seem to be the same ol crap.......only you're not drinking?
The first one especially, the physical craving for more alcohol once some is ingested, is NEVER found in "normal" drinkers. The second one speaks to the mental obsession. Normal drinkers also have the ability to control when they drink....whereas someone like me will find themselves drinking in all sorts of situations where we planned to NOT drink.... it's almost like catching yourself drinking against your own will. The last one speaks to the "spiritual malady."
And finally....... the grand-daddy of them all...... can you quit on a non-spiritual basis. In other words, can you quit on your own and/or with group/friend/family/professional help. Many of us can....but many of us can't. For those that can't quit even WITH the help and support of others.....well...that's what AA was designed to work for.