As others have said, I agree it's Rand. That's the only way the reaction makes much sense.
I always assumed it was Rand, because the scene works better emotionally that way.
That bit isn't about her uniform and rank. It's about
: "Hey, look, it's Janice--from the old show--and she's getting all choked up about what happened to the Enterprise. What a nice moment!"
I don't think you're supposed to be paying attention to her insignia at that moment.