Island Carrots: 島人参 Island peppers: 島唐辛子
Mozuku: もずく Orange Sweet Potatoes: 黄金芋
Rakkyou: らっきょう Sugarcane: サトウキビ
Taro: ターンム Turmeric: ウコン (うっちん)
Umibudou: 海ぶどう Watermelon: スイカ
Winter melon: 冬瓜 Farm Boxes in Okinawa
Bamboo Shoots: 竹の子 Black Garlic: 黒にんにく
Kariyushi Farmers Market: 軽便駅かりゆし市
A link to the growing season calendar. It is in Japanese, but use google chrome web browser to translate to English if need be: https://www.yasainavi.com/calendar/
These calendars are a little more specific to Okinawa:
JA (Japan Ag) Okinawa: http://www.ja-okinawa.or.jp/cast/calendar/calendar/
Miyako-jima living website: http://miyacojima.com/solution/archives/592