A 16-year-old student was sentenced to two years of probation for bringing a loaded handgun to his Woodbridge high school, authorities said Tuesday. Staff at John F. Kennedy Memorial High School received a tip that the teen had a gun in his fanny pack on March 28, according to Middlesex County Prosecutor Yolanda Ciccone. Officials searched the Woodbridge boy and recovered a loaded 9-millimeter handgun. The teen pleaded guilty to juvenile offenses that would constitute weapons-related charges in an adult court, the prosecutor said in a statement. Prosecutors sought two years of incarceration fo…