Should you go to AA? You will find a lot of help there should you choose to go. However, there are other secular methods of getting sober as well.
It does sound like you know you have a drinking problem and in that case you really should do anything/everything to help yourself.
Social drinking doesn't make you any less of an alcoholic. I was a bartender up until I quit drinking and while at the the end I would drink alone a lot also, the vast majority of my drinking was around other people. Addiction doesn't care if you're alone or with other people, it only cares that it gets it's fix.