Maybe there is a better question than 'Am I an alcoholic?'. It might be more useful to ask, 'Is it a good idea to quit drinking?' If you are harming yourself by drinking and the things that are real and good are slipping from your grasp, then the answer should be clear to you.
The best question to ask is 'Am I ready to make a plan about continuing to use alcohol?'. I made my plan, my decision, and put all that misery in the past. Life is so much better sober. I recommend it.