Pike: What're you doing here?
Kirk: Just following orders
I think this is some great characterization-acting by ZQ and CP, demonstrating both of them balancing their professional and personal instincts in different ways.
Spock immediately checks on his superior officers, but he turns away as soon as he sees Kirk swivelling to look at him. All business, and on to the next task. We’re not going to have a moment here.
Kirk is groggy but his first instinct is to make sure the Enterprise is OK - he’s still acting as Captain the instant he beams back on board. *Then* he realizes that Spock’s there, is fine, and is taking point, and visibly relaxes into their recent victory.
So this scene establishes each of them checking on the other, but it’s also a scene in which both Kirk and Spock see the other in their light as a professional. The Enterprise comes as a priority for both of them. But it’s also interesting that for Spock, care comes first and he has to remind himself to move on - while for Kirk, seeing his friends is the payoff and the reward. Two very different responses to loneliness right there.
And Pike has used up every last ounce of courage and professionalism he still possessed to stand straight during the transport. He’s out.