Other mistake: When Sly hypnotises the guy, he tells him to wiggle his tongue. He starts wiggling his tongue exactly when Sly says, "Wiggle."
Other mistake: In the scene where Sly and Whit are training the other babies, there's a shot of the kids at the nursery school running on the obstacle course that Sly built. He shouts at a kid to go under the net, but is seen running through a part of the obstacle course in the background, and so therefore wouldn't know that the boy is knocking the net down. (01:05:45)