Cook Out NYC, a country-style fair devoted to barbecue and beer, will take over Governors Island's Colonel's Row for a two-day festival June 7 and 8. Events include a kimchi-eating contest, a burger cook-off and a hot dog competition, and festival-goers will be able to sample food from more than 20 grilling stations. Tickets cost $30 for general admission, or $45 for general admission plus beer. Kids 12 and under are free if they come with their parents.