What definition you want to label yourself with doesn't matter. What matters is the effect your alcohol abuse will have on your health and family. But if the label will inspire you to do something about it, here you go - I think you're an alcoholic. You know it's wrong, it's doing your head in, but you're unable to stop - I think you earn the badge. Important thing is getting whatever help you need to break the cycle which may start with identifying why you feel the need to get wasted two days every weekend. I'd echo drunkenmaster's sentiments - doesn't sound like your family life/marriage can be that happy and unaffected if that's all you do every weekend.
Edit: Sigma beat me to the same sentiment.
Edit: Sigma beat me to the same sentiment.