The Lonely - S1-E7
Continuity mistake: Allenby brings Corey a stack of paperback books. He's holding them with the back covers facing out until the shot cuts, and then the stack of books has reversed itself in his hand: the back covers are now facing inward. (00:20:30)
The Lonely - S1-E7
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.
The Lonely - S1-E7
Other mistake: The supply crew arrives at the asteroid every 3 months, as established by the dialogue between Corry and the astronauts who bring him the female robot. However, Corry's narration reveals that he has been living with the robot for 11 months when the next supply ship arrives.
Answer: #4: That he did personally murder at least 14 (Jews). The last word I couldn't quite hear because of the screams, but I hear an "-oz" sound at the end, so it's an educated guess. #5: That he did sign and put into effect specific orders calling for the gassing and cremating of one million human beings.
Bishop73