11 shots is 11 units. This, twice a week, is not going to give you cirrhosis. But smoking WITH alcohol is shown to give you far higher chances of cancer in the mouth and throat than either alone, or either at different points.

I would worry about the smoking more than the drinking, but you could try binging once a week instead. Gradually cutting back can really help you reduce your intake without missing it

A doctor wont tell you much, they might request a liver function test which often come back normal anyway. If you're lucky they might give you a leaflet on diet, and cutting back on drinking that you could find online. They're not miracle workers, what do you expect them to say other than cut back? All that will do is taint your medical notes with "alcoholism" risks, that might affect your employment/health + life insurance!! Be careful of such traps!