Factual error: The communication delay for earth-moon communications is around 2.6 seconds. Yet Emma's daughter simply dials a cell phone and is connected to her Mom in space past the moon in less than that. The communication has no time lag. (00:18:45)
Factual error: Emily is in Paris when her boyfriend calls from Chicago and wakes her. She asks the time which he says is 7pm, and she says 3am in Paris, which cannot be. Central European Time is 6 hours ahead of NY and 7 from Chicago. 7 pm in Chicago would be 2 AM in Paris.
Continuity mistake: When Gi-do is checking himself into the hospital, he flips up the sunglasses he is wearing. The shot then cuts to Haeng-ja whispering something to him, and we can see Gi-do's right hand raised to be level with his head. When the shot cuts back to Gi-do, his right hand is suddenly lowered. (00:31:02)