Trivia Questions that got me fucked up

My friends and I are weekly participants in local pub trivia. Sometimes the answers escape us. Or we might just be really dumb.
  1. In 2005, Brokeback Mountain received an Academy Award Nomination. It lost to this title. Bonus points if you can name the director.
  2. The French Company known as the largest distributor of Cognac.
  3. The country of Papua New Guinea shares an island with this other country.