Also still no reason given why Carol Marcus needed to change her clothes in a shuttle craft while speaking with Kirk.
I felt the reason was clear enough in the film; she was changing into a flight suit and time was of the essence. Maybe not the best reason, but I understood what the reason was supposed to be.
Which is silly, as she then
asks him for the steadiest hands on the ship apparently, and so McCoy must then find a flightsuit and put it on himself.