No, they're not the same. Story of Seasons is a new series that developed from the Harvest Moon franchise but has some distinct features and gameplay differences.
They aren't identical. Harvest Moon was the original, and Story of Seasons is a continuation with its own tweaks and improvements. The worlds, quests, and overall feel can vary between the two.
Crescent Moon and Sunshine was a TV series produced by China Television Film and Television Culture Development Co., Ltd. and Huayi Brothers Taihe Film and Television Investment Co., Ltd. The play was directed by Huo Zhuang and Xu Xiaoxing, and starred Ma Yili, Yi Chunde, Huang Lei, Jiang Shan, and Kou Zhenhai. The plot described Xiaoyue Zhang and Luo Canyang's childhood experiences, as well as the conflicts and entanglements between their families, and extended to various deep conflicts in society. The drama was broadcasted on May 21, 2006 on Central TV Department 8.