Factual error: Corey is in solitary confinement on an asteroid. However, asteroids are neither large enough nor stable enough to hold an atmosphere. In addition, the distance from earth stated in the episode wouldn't be much further than the moon; there are no asteroids in a stable, regular orbit around the the moon or the earth, nor around the sun anywhere that close to earth.
Plot hole: In the beginning, we see the rocket that came to bring the main character supplies carried 3 men and the crate containing the robot woman, meaning it can hold at least 4 people and perhaps more. However, at the end of the episode, the main character is told that the rocket only has enough room for him and the pilot, so he must leave his robot wife behind. Why wouldn't they return in the same rocket from before, and if this is a smaller rocket, why would they have chosen to bring this one when the main character possibly could have had a lot of stuff he wanted to bring home. We see he could have car parts shipped to him and was able to build a car, so these rockets must be able to carry a significant amount of weight. It's almost as if the pilot wanted him to have an ultimatum.