The reindeer is one of those things I would set up an auction for not just tell people to send you offers. Bidding wars happen and can drive the price up higher then what you might take in a private offer.
Yes. Put it up for sell with a S/B(starting bid) of 1 million. Have it end in 24 or 48 hours, and see where it goes.
Yes public auctions are best way to get the price you may want, would only start it off at the lowest your willing to take