Miyakojima Recommendations

Hello,

My husband and I will be visiting for our babymoon the first week of July for 5 nights after almost 2 weeks in other parts of Japan. I’m having a hard time finding any information about anything on the island except for beaches. Does anyone know of any catamaran type boat trips or other similar type of excursions? Also, if anyone has restaurant recommendations, we would greatly appreciate it! We already rented a car through our hotel. Thank you!