Both Mickey Rourke and Bill Murray lost out on their only Best Actor Oscar nominations. Both lost the award to Sean Penn. Rourke was nominated for The Wrestler and Penn won for Milk. Murray was nominated for Lost in Translation and Penn won for Mystic River.
When Nate gets his drink from Lily in her caravan you can see him putting his glass on the table. A few seconds later it's a total different type of glass.