Yes, all of that. I've said elsewhere that my disbelief required not merely suspension, but cantilevering.
I want to point out, however, what I found the most interesting (and least stabby-making) aspect of the movie to consider: the astonishing emotionality of the men in this movie. I think Sulu may be the only named character not to have had tears in his eyes at some point. It seemed like whenever they weren't shooting/hitting each other they were sitting around sharing their feelings. I have no problem with this, I just think it's fascinating. And I invite you to contemplate Shatner playing the turbolift scene with Uhura.