In the 2001 film "The Fellowship of the Ring", who says, "Go back, Sam. I'm going to Mordor alone"?

"2001: A Space Odyssey" memorably used a Richard Strauss piece called "Thus Spake ___". Akiva Goldsman won an Oscar for writing which 2001 biopic about a schizophrenic math genius? In which 2001 film do Kurt Russell and Kevin Costner dress as Elvis to rob a Las Vegas casino? In which 2001 film does a boy ask, "Excuse me, sir, can you tell me where I might find platform nine and three-quarters… "Good evening, Clarice" is a line from which 2001 thriller? Which actress played the older Iris Murdoch in the 2001 film "Iris"? Lincoln Center's long-running summer music festival, launched in 1966, was called "Mostly" which composer? John Leguizamo played which painter in the 2001 musical film "Moulin Rouge!"?