Other mistake: When they first get into space and Tish removes her helmet her left earring is free floating, which would be expected in zero gravity. But after this first shot, her earrings hang down as effected by gravity. Also all three of the girls hair hang down with gravity the whole time they are in space. (00:54:45 - 01:03:15)
Other mistake: When they were landing the shuttle, they were able to communicate with NASA in Alabama, but they were in New Mexico. When they were being launched into space, they lost radio contact and the mission control person said 'this bird wasn't flight ready, they only have short range radio'. They were at the most maybe 30 or 40 miles away at the time. So if they could not reach them at that distance, how did the suddenly have the ability to communicate with them when they were over 1,200 miles away? What happened to the short range radio?