Kirk motioned for McCoy to go and help, which the man was going to go and do anyways - as if Kirk needed to tell him. Bones would have headbutted him if he had tried to tell him different, a trait he admired in the man. He wasn't getting a bad feeling from the ship, so he suspected Bones would be fine. If they had really wanted to hurt them, they would have done it right when they stepped off the transporter and met them with weapons.

"You'll have to forgive my reaction, Captain Pike," Kirk said as they entered the situation room, glancing around as he did so in the surreptitious way of a captain, taking in everything. "You are... not whom I expected to find on this ship." If it was him, and so far he didn't have a particular reason to think that the man would be lying. Not with the other Spock there who was... well, not quite clearly Spock, but it was also a very odd name to just pick out of a hat.

"I think, perhaps, this might be easiest if you explain to us your version of events, including the date, to us," he suggested as he took a seat, Spock assuming the one beside him, naturally assuming control of the situation.