1. Yes you have a problem with alcohol.
2. Reread your post to find out why.
Hiding your consumption from others is psychologically unhealthy, drinking every day is physically unsustainable. In the long term both will have repercussions. The fact that you used alcohol to deal with your breakup in a way that got out of control should suggest to you that you need to be a lot more careful about your consumption, and a lot more honest with yourself and others. This is a problem that quietly gets more and more out of control once you start using alcohol for the wrong reasons.
People who don't drink regularly tend to be very obvious drunks.. I, however, can easily have one or two bottles of wine without her noticing.
You would be surprised what people know and ignore. This type of thing is really awkward to bring up, and some people just hope it is a phase that will pass. If you stop drinking like a fool today, maybe that can come true :P