After your breakfast we suggest renting some ATV’s to explore the island for the day. You can hop the ferry with the ATV’s and head to Galatas to Devil’s Bridge where you can hike and swim in the waterfalls. Head back to the boat where dinner will be waiting for you. Go for an evening walk and have some gelato.
Additional suggestions - I would for sure rent ATV's which you can do in a number of spots along the port. Best to try and get them the night before or at least reserve them. You shouldn't have any problems as there are usually tons of them. To get to devils bridge which you can do if you want although it's not super amazing, you'd take the ferry over to the mainland(which is close) but to be honest I would just cruise around the island and explore some of the beaches and towns.