About the spaceplane, I recently thought about an explanation.
As they visibly don’t have big fuel tanks, they are using extremely compact fuel source, like antimatter. So the spaceplane actually have an antimatter drive. Now, having NASA running around with rockets is already not seen with the best eye (and given a pass only because this pesky end of the world and stuff), but taking off with a freaking antimatter engine was simply too much.
So, to reassure the heirs of those people confusing RTG and salt nuclear bombs, they made the thing blast off from Earth with severely obsolete but clean water-producing chemical rockets (and only because horses didn’t have enough delta-v).
Sure, it makes no sense, but trying to stop Galileo to take off didn’t either, did it?
About the black hole, galactic black holes can sometimes be ejected from their galaxies. I’ve read that a black hole merger (possible with a galaxy merger) can cause it to be ejected as it release a colossal asymmetric gravitational wave. Maybe there are other phenomena that can do that.
So we have a black hole that has been ejected very early in the galactic age, is rotating extremely fast (maybe because of said merger?), has an old, old disk that isn’t really accreting anymore and had the time to cool down to optical temperatures (from X-/gamma ray temperatures) and at the point of the movie, got somewhere where there are stars around but not too much.
Also, it recently got this planet in a super-close orbit that is still shaking from the tidal lock (hence the waves), and hasn’t yet been blown to bits by a tiny meteor on an oposite orbit (at a few percent of light speed, you don’t need much to bust a planet - and if you have several ones, then “Kessler syndrome” takes a whole new magnitude).
Vanishingly improbable to find one around, but not exactly impossible at the scale of the unfathomably vast Universe. The transcendents are still dicks to have put the other end in such a system, though. (And it doesn’t explain the other inconsistencies)
(And the mildew. I simply can’t forgive the mildew.)
Amusingly, both ends of the wormhole don’t have to be at the same time (as much as “same time” makes sense when they are out of each-other light-cone). So it would have been interesting to actually have the other end’s sky to be red with ancient red dwarfs, long past today’s Spring of Stars, and at the end of the Age of Stars itself - with the Universe slowly getting darker and darker until the final night.
They wouldn’t even have to explain it. For most spectators, it would have been a discrete way of showing a different, slightly alien sky on the other hand; a nice thing to better accentuate the distance between the two places, along with the black hole Sun and strange planets. And for those who would have gotten it or heard of it, well, the end of the Universe, when the last lights are going out, is an interesting place to talk about - in a more than century-long tradition - possibly starting with The Night Land as early as 1908.
The movie is barely out in theatre and I’m already thinking about all the things a remake should do to make it better 