I don't see why you are calling this "precognition".  As I've already noted, she is a highly trained observer, and she did just that.  She didn't alert the authorities by saying "I've got a psychic hunch this guy is a creep."  If instead of the person being a teacher, she was a cop or air marshal, I would guess nobody would be here questioning the propriety of her observations.

Anyway, I'm not sure why some here are questioning the validity of the story.  I think I have just as much reason to believe the story as others have for questioning its validity.  I'm going to assume the portrayal of the cops and all having done a good job is correct.  None of us know more or less then any other, so why veer into disbelief?  But maybe disbelief is inherent to your nature.  Isn't that what chroma key is all about, crafting the illusion of things being as they actually are not?  Your work is destroying your faith in humanity!