I,m glad you got sorted there are plenty of thing to in Rhodes a trip to Rhodes town is a must as there is plenty to see within the old castle walls and around the harbour, we just loved wandering around the old cobbled streets there is also a new part of the town with all it's designer shops etc. Along the harbour you can go on various boat trips to neighbouring greek islands can't quite remember which ones. You can also get the hydro foil to Marmaris in Turkey. When we were there we hired a car for the day and went down to the tip of the island where the mediteranean sea met the Aegean sea it was amazing the difference between them.
I'm sure you will be happy just to wander round Lindos as it is full of character just be careful if it rains as the steps can be very slippery.
Also beware of the donkeys when they come racing down the slopes.