The Slipper and the Rose

Question: For 40 years I have wondered why there were two sets of slippers. In the scene after the ball and Edward is holding the lost slipper, the king remarks how small it is, he could have tried them, and they would have fitted. Later in the glass case we see the real small slipper.

Chosen answer: It's the same slipper, after failing to find Cinderella, the Prince erects that monument to his lost love.

Question: Why doesn't the King enjoy seeing his nephew (the Prince's cousin) when he arrives near the beginning of the film to congratulate the Prince?

Chosen answer: For the same reason everyone else is unhappy to see him: He's getting on their nerves!