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.
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.
As Smalls, in 1972, is supposed to be the younger brother of the original Smalls from 1962, he would have been approximately two or three in the original. It's odd that no little brother is even mentioned in the original. Writers of Sandlot 2 should have paid a little attention to the original. If the 1972 Smalls were however, born after the original, his last name would not be Smalls as Bill was 1962 Smalls step dad. Next, the narrator for the 1962 Smalls is the same narrator as the 1972 Smalls. Not the writers this time, but the casting agent could have done a little better. This was not supposed to be a spoof of the first, but these revealing facts make this look like a very bad spoof.