"Who they--Starfleet doesn't own people," Julian is obviously disgusted by the idea. It's not exactly stated in a way that gives a good connotation.

He doesn't know what had happened, because that is an incredibly unhelpful answer. Julian hasn't gotten around to discussing recent events with Doctor McCoy.

"About you? I'd refrain from introducing yourself with your full name to anyone wearing a Starfleet uniform, if that's what you mean." Somehow, he doesn't think that's the case.