Revealing mistake: The American and Russian space agencies are watching the launches of their own supposedly different rockets (split screen). It is clear that the pictures they are watching simultaneously on the monitors is the same footage, but reversed on one screen. (01:13:30)
Continuity mistake: Rex takes off in the experimental glider, which detaches its wheels onto the runway as soon as it's airborne. When the camera angle changes, the plane is still at the same height, but the dropped wheel assembly has disappeared from the tarmac. (00:23:00)