As Sheldon runs off the ice to chase Burke Bennett, he is wearing hockey skates. In the theatrical film, it seems like the skates disappear by magic, but the DVD shows him removing the skates in a deleted scene.
While Randolph is driving Sheldon through New York City, the trees outside the car look green, and people walking around are dressed fairly lightly. This is obviously during the spring/summer. However, when they arrive at their destination in New Jersey, it is snowing very hard, and the large amount of snow on the ground indicates it was snowing for a long time.
When Marion Stokes is standing in front of the Kidnet board after the Rainbow Randolph scandal breaks, the overheard and side-view shots show him standing in the middle of the spiral Kidnet logo. However, frontal shots show him obviously standing in front of it.