In 'Dead Poets Society', at which fictional school does John Keating teach?

In 'Mean Girls' (2004), who plays Cady Heron? In 'Clueless' (1995), who plays Cher Horowitz? In 'Legally Blonde', to which law school does Elle Woods go? In 'Good Will Hunting', at which university does Will work as a janitor? In 'The Graduate', who plays Benjamin Braddock? In 'Bonnie and Clyde' (1967), who plays Clyde Barrow? In 'Dr. Strangelove', which actor plays three different roles? In 'Some Like It Hot', what instruments do Joe and Jerry play?