Origin’s 1st Irish — New York’s all-Irish theatre festival, devoted to showcasing the work of contemporary Irish playwrights from around the world — runs through January 29.  Seven productions in competition and ten special events are included in the current edition of this international festival, which is recognized for its focused size and emphasis on audience engagement through parties, panels and workshops.  Among the highlights this year are Enda Walsh’s breakout hit “Disco Pigs,” extended through March 4 at the Irish Rep, and Haley Mills in “Party Face” at City Center through April 8. The Festival takes place in several venues throughout the city, including Irish Rep, New York City Center, Irish Arts Center, American Irish Historical Society, and Symphony Space.