Maureen comments that she thinks they are several trillion light years away from the Milky Way galaxy, which puts them far beyond the boundary of the observable universe, that is the part of the universe that is visible from Earth. The observable universe is about 46 billion light years in diameter, and thanks to a refined understanding of the curvature of space-time from the BOOMERanG experiment in the late 1990's, astrophysics have been able to estimate the size of the entire universe to be at least 14 trillion light years. Which means less than 0.0001% of the volume of the Universe is presently or will ever be observable to us.
The orange piping in Parker Posey's Dr. Smith's flight suit is a nod back to the orange in the uniforms from the 60's original series.
Unagi is the Japanese word for freshwater eel, which is a common ingredient in Japanese cooking.
Captain Reddick is wearing a 'pocket rocket' on his uniform left breast pocket, a Missile Badge for Maintenance Personnel. A similar badge is worn by Capsule Crews, or operators.
When Judy loosens the bolts to free herself, she turns them clockwise, which should actually tighten them.