I believe the OP was simply asking what is the normative behaviour between Rebbe and talmid.
alexhannahhakatan, is there anything specific you are asking about?
I think every yeshiva and Rebbe in a yeshiva has their own derech. But generally, one talks in 3rd person, unless the Rebbe prefers not too. In England, one calls the Rebbe, Reb and his firstname, e.g. “I want to thank Reb Yisroel for his shiur today, and I have a kashe…”. The exception would be a Rov, Dayan or Rosh yeshiva. “I want to thank the Rosh Yeshiva for his shiur today, and I have a kashe…”
Don’t make the Rebbe stop walking, IOW, walk with him continuing to talk. This can be awkward, like walking down a narrow beis medrash aisle, but that’s what’s done.