Okay, so, the obvious - Carol is hiding her family ties to Admiral Marcus. Why? And how and when does Kirk and co. learn otherwise? Is the British accent (I know, I know, it's Alice's real voice) part of the act?
'Wallace' was a nice nod.
Though I'd have loved it if she'd used the first name 'Janet' too, I guess (for those of us who already know who Alice is playing) it would have been too much of a tip-off that Carol ain't necessarily one of the good guys in this one. Her mother could have divorced/remarried and Carol took Step-daddy's last name.