It's Christmas time

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Across
  1. 2. Fat man with the best logistics system ever.
  2. 4. Little creatures that help the old man.
  3. 6. What children (and adults) expect to receive.
  4. 8. Character made by Am. people. He hates Summer.
Down
  1. 1. Song that people sing during this festivity.
  2. 3. Christmas symbol you should put up on December 8th.
  3. 5. Preferred means of transport to deliver gifts.
  4. 7. Animal that acts as the "engine" of the old man's vehicle.