Just before Gothel cuts Rapunzel's hair, Rapunzel is turning to face her, but when Gothel cuts it in the next shot, Rapunzel has her back to Gothel
After Penelope puts her foot through the floor, Rapunzel looks down the hole and decides to jump. She lands on the floor, and the fallen wood from the hole is nowhere in sight.
At the end of the movie when Rapunzel and Prince Stefan have just been married, Rapunzel has all her glorious long hair back. Just a little while before this, the evil Gothal chopped Rapunzel's hair off just to below the shoulders.