What is the main conflict in I Hate Hamlet by Paul Rudnick?

As its title suggests, Paul Rudnick's 1991 play I Hate Hamlet deals with the question of just how relevant William Shakespeare's Hamlet is for modern audiences. The play centers around a young actor who has just earned fame and fortune on a television show about doctors and is apprehensive about returning to New York to play Hamlet in the prestigious Shakespeare in Central Park festival. To add to his insecurities, his realtor has rented him an apartment once inhabited by John Barrymore, who many consider to have given one of the greatest performances of Hamlet in the twentieth century.