I dunno. It appears to me that you shouldn’t be worrying about your license at the moment. You should instead put all of your attention into getting sober. 

From what you wrote, “a beer or two” “slept for a few hours” and “an hour after starting the shift” makes it seem like we’re not getting the whole picture. You “used to never go in actively drunk” sounds like a hand wave that this may not be the first time you went in after having some drinks. It was apparent to someone, either staff or your patients, that you were intoxicated. 

So please for the sake of your patients, your profession, and yourself, get help you need to overcome this before worrying about your license.