1967 Movies

What 1967 movie about a prisoner in a Florida prison camp had the famous line "what we have here is failure to communicate"?

The main character was a decorated Korean War veteran Lucas "Luke" Jackson, what actor played Luke?

In the famous egg eating scene, the cons are all taking bets to see if Luke could reach his goal. How many eggs did Luke eat?

In the same year Cool Hand Luke was released, 1967, Warren Beaty and Faye Dunaway played what famous crime couple?

In what 1967 film did Dustin Hoffman say this infamous line to Anne Bancroft, "Mrs Robinson, you are trying to seduce me".