No, they don't reset. So once you have earned all of the collectibles (gifts) on each Game Level, that's it. You can't get more collectibles from that Game Level. The only scores that they would reset are the World's High Scores. That would be based on how well people around the world play in comparision to everyone else in the world (not characters in the game, like where you see your own high scores). I think they mentioned something about resetting them once a week, but I can't remember. Regardless, they don't update them hardly at all.
~Vicks
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