EARLY Act Reauthorization of 2014 - Amends the Public Health Service Act to reauthorize through FY2019 the Young Women's Breast Health Education and Awareness Requires Learning Young Act of 2009, which supports: (1) campaigns to educate the public and health care professionals about young women's breast health, (2) research into prevention of breast cancer in young women, and (3) support for young women with breast cancer.