"Who are you?" WHO ARE YOU?!

Considering she thought Luke was a myth, him not knowing who she is sounds about right.

If we see the footage in time and do hear Luke ask Rey "Who are you"? I actually would welcome it. It would at least potentially lay theories to rest. IE: She it not a Skywalker. I re-read the script for Episode VII thinking of this. It says Luke doesn't need to ask who she is or why she's there. His eyes say it all. Thinking about it now, that could mean his eyes asked that question in silence, which would then be matched by the actual verbal words later on: "Who are you?"

As for Kylo, I am of the thought that he has probably seen visions of Rey courtesy of the Force for a long time. Perhaps the Force has long shown him visions of Jakku, along with images of Rey...either as a child or as an adult with her face hidden.... just like Rey sees Kylo Ren as a boy (in the novel) and as an adult, but when she sees the adult Kylo (Ben), he always is shown as an enemy/opponent, and always has his mask on.

Somehow I think the Force has shown Kylo that this woman (Rey) is supposed to be important to him, as an ally, a friend. Perhaps more. It may explain why he wants her to see him favorably. Why he cares how she views him. Plus, if he has seen visions of this unknown girl for years, it would explain his very strong reaction to an officer's reveal of what should have been a routine or simple piece of information (WHAT GIRL?!?) He would definitely want to know "what girl" this is if he has seen visions of a girl form Jakku for a long time, even though the officer can't tell him anything.

Another tidbit from the book has Kylo Ren saying: It is you... right after Rey takes the lightsaber from him. That has led me to think that part of Kylo's visions included him searching for the Skywalker family lightsaber and being just about to grab it when it is taken away from him by someone that the visions did not let him see. When the adult Rey takes it, he "connects the dots"...(It is you...). The one that will be important to him. The one he could be meant to look for.