Other mistake: The two ships that the astronauts and drillers are supposed to be new, military vessels that were top secret - and just happen to bear a resemblance to the actual NASA shuttle orbiter. But, when they are launched, on the wider shots it appears that the footage is just stock shots of the space shuttle taking off. It is only in the closer shots that they actually bother to show the fictional craft. (Additional Information: During the X-71 launch sequence, they used real Space Shuttle footage, and used computer graphics to stitch the image of the X-71 onto a shuttle rocket stack. However, at least once during the sequence, you could see they forgot or didn't bother to change the Shuttle to the X-71. They just left the video as it was, and you could clearly see that it was a real Shuttle, and not the X-71. )
Other mistake: In the scene where the asteroids are hitting New York, there is an exterior shot of one of them hitting the South end of Grand Central Terminal. Another shot goes by and the film cuts to the main area inside the station, which is close to where the first asteroid hit. There is not one hint of damage, or any discernible reaction from the people inside from the first impact.