That is one of the drawbacks of referring to an hour long YT video. The author did mention the darkness that came over the land at the time of the crucifixion and says this is not recorded anywhere else.
A lunar eclipse is said to have happened the night before so you can't say it was a solar eclipse the day after (that combination doesn't happen). It was obviously "like a solar eclipse" but it wasn't. What was the cause and how extensive it was I have real no idea.
Wikipedia covers "Crucifixion darkness" http://en.wikipedia.org/wiki/Crucifixion_darkness (does that link work for everyone?)
I don't want to rewrite the entire Wikipedia page!
A dust storm would be most likely, in that the dust could be at a higher altitude. I think if you are in a dust storm you know it, but if it passed over at a higher altitude it would give the appearance that it covered the entire land.
I have had no real experience of dust storms (others might know). But in NZ from time to time bushfires in Australia affect the meteorological conditions here.
As far as Nazareth goes, that wasn't covered in the YT but is a separate criticism leveled at the story of Jesus. In your reply you say "but the two are not inseparable in my opinion." I have a feeling from the context you mean the two are separable, but if you have time could you please re-explain yourself on this?
The question is "was Jesus a real person", and I take that to mean historical rather than "truthful in every aspect of his teaching at the time" (I won't go there on a science forum. I might in a blog later).
Does anyone doubt that Jesus existed at all? Some might. It was those I wonder what would make them change their minds for it is endlessly possible to deny any evidence as fake or irrelevant or something, so I feel it is really near impossible to satisfy everyone. But I challenge them to tell us what they really want.