I know it's just the movies but in the comics Logan couldn't get drunk or be poisoned because of his healing factor. Also his hands should be bleeding from his claws and he should be poisoned from the adamantium when his healing factor was suppressed. These are by no means important, just observations from a comic nerd.
Actually no on 2 parts of that. 1) In the comics he was giving a heavy dose of poisoned by Shingen with blow fish venom to lower his healing factor and try to kill him. 2) He mentions a few times after the adamantium was ripped out by Magneto that if he keeps the channels open there isn't blood, like a pierced ear. But that might have just been a throw out line to Jubilee back then.
There was a big guy with dreads that looked a hell of a lot like the actor playing Bishop to me.
I didn't catch it first time but I do think your right on re-watching it.