Thank you for all the info so far. I have a few more questions, and am grateful for your clarifications!
Could someone briefly explain what are the Lojongs, Rushens, Semdzins?
Lojongs - mind trainings, in DC they're from Chetsun Nyingthig.
Rushens and semdzins are for discovering your real nature and a bunch of useful things, maybe some else will say more.
Also - the Precious Vase - what is that?
The book for the base of Santi Maha Sangha program, which Rinpoche recommends everyone to study whether you follow the program or not. It's a kind of commentary on Padmasambhava's Garland Of Views. Contains teachings on sutra, tantra and dzogchen. If you had only one book to take this would probably be it.
One more: obviously, ChNN can't give wang over webcast.
He gives donwangs (don dbang - meaning empowerment) during webcasts sometimes.
But does he give ever give wangs in regular retreats?
Or is wang in dzogchen considered redundant, if one is already receiving pointing out + wang?
I wouldn't say redundant, just it's not the most important thing. The Precious Vase recommends quite a few wangs, and Namdrol used to quote some tantras that say that if you didn't "get it" during direct introduction you should receive the four empowerments in the usual way.