To explain how to deal with this situation, depends a lot on how you have managed this person up to this point. It's all about your personal management style.
You say this person has been 5 to 15 minutes to every call - has this been noted in the report? have you spoken to them about it? have you notified management above you about this situation? is your director pissed off about this - or is he the kind that doesn't mind someone arriving late.
As far as having booze on the breath . . . well, I have encounter actors who have NEVER performed sober, or at least without a quick drink before the show. As long as it is safe, it's hard to make a big stink about it unless there is something either in the contract or the theater's posted policies.
In the end, actors, like most employees, crave very specific boundaries - if you let an actor slide in late over and over, they are going to make a bad habit of it. Why not? No one seems to notice, no one seems to care, there is no repercussion. Why not have a drink or too before the show, the SM doesn't seem to mind bad behavior? Why not change blocking? It can just keep escalating.
Anyone in this business long enough will start to develop their own style in how to deal with things. I usually handle my cast with a light touch - I am jokey, I am not a total dictator, but I like people to know I run as tight a ship as I can - if an actor is a couple of minutes late, and we were holding for some other reason - then I am not going to make a big deal. If an actor is late and we are holding on him, I usually make a big deal asking if they alright, and say that mostly we were just worried about them - or, take a light jokey attitude like "12:00n or 12:05 - really, just show up around the call" - usually they get the message right away - they are being watched.
On the the second time, I will probably speak to them at the end of rehearsal, seeing what the root of the problem is - but treating it a lit more serious. (Is it transportation issues? Family issues? Whatever. You can learn a lot by a quick little heart to heart at the end of the day.)
On the third time, and rarely does it get to this point, I am handing them a written letter, and notifying upper management. Look, I was nice, I was stern and then I cutting to the point that this crap needs to be dealt with. (Usually upper management will chose to cc correspondence to the agent as well.) Usually step one works, but step two solves most tardiness issues. Rarely I am at level three.
Now as far as the drinking - was it once? Did it effect his work? Unless the director or upper management wanted me to step in on this issue, I would steer clear of it. Like I said, many actors have a casual relationship with booze. If this becomes a more serious issue, then it should be dealt with by upper management. Remember, you have to keep a working relationship with this actor for the run of the show - you could easily step into some awkward personal issues when dealing with booze and actors - and quite frankly, I think it's best to have stage managers dealing with issues that are might best left to professional psychologists.
Now it may sound like I avoiding the drinking issue, but I have dealt with this on MANY occasions and with little success. Often, the only time is to get upper management involved so they realize the professional consequences of the drinking.
Best of luck - but know that dealing with this issues are truly the core of stage management - typing a daily call, teching a show, calling a performance tend to be the easier parts of job - but the day to day management of the humans we work is the heart and soul of our job, and can easily separate the good ones from the bad ones.
- Matthew