useless trivia: What Word Means: Reads Carefully - Small Openings?

Questions

Born Georgios Panayiotou in England in 1963, by what name is this singer better known?

Which Greek philosopher was appointed tutor to Alexander the Great in 342 B.C.?

Which 1995 film, starring Tom Hanks, used the publicity blurb "Houston, we have a problem."?

In 65 A.D., which Roman emperor forced his former tutor, Seneca the Younger, to commit suicide?

Starring Nigel Hawthorne, which 1994 film was publicised with "His Majesty was all-knowing. But he wasn't quite all there."?