Five questions with the answers beginning with the letters from A to E, with each letter being used only once, but they are not in alphabetical order.

Image A Couple Cooks
One
Who wrote, produced, and directed Moulin Rouge (2001) and Australia (2008)?
Two
An absinthe-Champagne cocktail was invented by an author and shares its name with his 1932 non-fiction book about a sport in a southern European nation. Who is the author, and what is the book and cocktail’s shared name?
Three
Which chemical element derives its name from the Latin for ‘coal’?
Four
Which small dog breed, which is not a terrier, is sometimes known as the monkey terrier?
Five
The Malawian city of Blantyre was named after the Scottish birthplace of which missionary and explorer (1813-73)?
Good luck! I’ll post the answers later.