Pab: Just to deal with a detail, I don’t think Uhura in the new film was bedding anybody, with the possible exception of Spock. You seem to be confusing her with her green roommate.
Agree with you the new McCoy was spot on.
Agree hard to believe Kirk could be eleveated so quickly, but initially the ship was manned with cadets due to the emergency (another old Star Trek movie gig, I loved that so many were woven in) so the cadets were all assuming bigger roles. Kirk did have years of training, he was a genius, Pike was a mentor, and Kirk essentially saved the world and then some on his own initiative. Still a stretch to be given command of a star ship in one easy step, but this was movie land and they only had 2 hours 6 minutes.
I think it was very clear Spock had a significant relationship with Uhura. (accademy professor/cadent student)