If you take a look at Kate Moss's eyes you can see the relfection of a light source coming from above. As the light looks rather soft (no harsh hot spots or illuminated hair strands) I'd expect a defused light, so probably a softbox.
As there's not any harsh shadows caused by having the light above, under the nose for example theres also a light source or reflector below (as it's B&W can't speculate on colour but I'd personally use silver). It could be a lower powered light source (note theres still some shadow under the bottom lip, cheekbones etc). Personally I'd use a reflector as they're easier to manage than a lightsource plus modifier (again the lighting is soft so you'd need a softbox).
There doesn't appear to be any lighting used on the background as it's not block white, so you could use a white backdrop not light it and use it as a very light grey colour.
As for lens, probably something over a 50mm on FF equivalent.
Also unless you're uber amazing at photoshop, may I suggest using the fake moustache mentioned in the comments. Will save you a lot of time. Just make sure you take photos without as well, just in case. Otherwise you'll have a Henry Cavill, Justice League reshoot issue on your hands!