Ah, Dalai Lama! The holy manifestation of Avalokiteśvara--- known in Tibetan Buddhism as Chenrezig, the bodhisattva of compassion. Currently in its 14th reincarnation. I researched this at one point.
I do not know what year this universe is in. It would not be relative to our understanding. The passengers here are from different times and realities. Your 2017 may not be 2017 in my universe.
Yes, exactly! The Doctors appear human but they aren't. They call themselves Time Lords. Or the closest approximation of their name is Time Lord according to their translation software. I am still investigating how it remotely accesses our temporal gyri. By story do you mean his testimony or a fiction he invented? Is he called Loon because he talks about alien abduction? Which is, of course, a documented phenomena and not necessarily delusional. I don't think the Doctors have any interest in dissection or probing, though.