But I'll take my own fanciful stab.
I don't foresee either an energy or a climate crisis. There is a hard limit on how expensive energy gets because at some point you can turn totally renewable energy into a fuel of some sort, ideally taking CO2 out of the atmosphere to do it. It's not cost effective now because energy is so cheap. But like I said: there's a limit to how expensive it can get.
The bigger problem (IMHO) is going to be certain elements and metals that aren't so easily replaced. I agree with the author that getting certain elements from space is going to be economically tricky (rather than technologically tricky) compared to how cheap it is to pull stuff out of the ground.
You can recycle iron to a degree but a certain amount is lost through corrosion/rust. Rare earth elements are harder to replace.
I do foresee there being a lot less of us and that is probably going to be a traumatic change.
Sadly I don't foresee a huge presence in space. The energy costs, particularly when you look at even the most optimistic models of interstellar travel in particular, are just too extreme even with perfect mass-to-energy conversion.
Change like evolution is often perceived to be smooth but it's not. Our world like life itself is shaped by key, often small, events. Europe in 1914 was a powderkeg in 1914 but one man's death triggered a sequence of events that resulted in World War One, the armistice for which sowed the seeds for World War Two. One could argue that if the Archduke had lived something else would've triggered the war and you may well be right. Still how different might the world be if, say, JFK was killed by a chance bullet in World War Two?
As far as longevity goes, that's a tough one. I expect there'll be a certain class of people who live much better and longer than others but then again the history of the world thus far is those kinds of technological advancements always trickle down eventually. Living forever? I have my doubts.
Artificial intelligence as always is the sleeping giant of the future. I believe that to be inevitable and the effects could be profound to put it mildly.
I too believe the nation states of today mostly won't exist in 500 years.