Since I have released my Reusable Crew Vehicle, I have resumed watching the series. I'm currently on episode 49 (please don't spoil me about later episodes)
The series takes place in 2025/2026 and beyond, but I wish that the series depicted JAXA as having their own manned spacecraft by that time. They still don't, and they're flying to the Moon on Orion instead of a manned HTV.
(Also, they could use multiple launches of the H-IIB/H-III to assemble an HTV + lunar transfer stage.)