The Lower East Side theater project Shakespeare in the Parking Lot, presented by the theater group the Drilling Company, celebrates its 24th year with a production of “Hamlet,” with a twist. Set in modern times, the production stages the lead role as a noble woman who has been betrayed by her uncle. Several other characters, including Rosencrantz and Guilderstern, are also reimagined as women, and Hamlet and Ophelia become lesbian lovers. Jane Bradley performs the lead role. All performances are free.