Revealing mistake: When Belle exits her house, the reflection on the window by the door shows a rectangular flat roofed building, nothing to do with the old gable roof we see in further shoots. In the making-of we are revealed that the prop building is in fact rectangular and flat, with a green screen on top to allow for the CGI.
Revealing mistake: When the wolves attack the Beast, neither one leaves footprints on the snow.
Answer: She didn't have to, the second Belle proclaimed her love for the Beast, the spell was broken. She would have seen her use her magic to reverse the curse. It would be obvious to everyone she was an enchanted being.