At the end of the movie, the narrator explains that Hayley grew up to be a supermodel and a pitcher on the Olympic softball team. Women's softball did not become an Olympic sport until 1996. Hayley would have been around 35 years old in 1996, a very unlikely age for an Olympic softball player.
The model of the space shuttle includes a rust colored external fuel tank. In the early flights of the space shuttle the tank was painted white. Most likely if any models existed during development of the shuttle they would have had the tank painted white.