If you have one of the rooms with a private pool I'd request one in the new block or one if the two that over look the smaller pool. If its not one of those them to get the best views I'd request a room in the 100s or 200s. They have great views and away from the pool. I would say there is unlikely to be any noisy rooms though.

The new pool rooms and the ones from last year would definitely have sun most of the day, the original two I think might spend some of the day in the shade, but mostly on the sun. You can hire towels, not sure of cost but I know it's not much

The nearest beach is in Hersonnisos which is about a 20 minute walk downhill from Casa Blu. There are many other fabulous beaches but you would need to hire a car.

Yes there are many restaurants/ tavernas that are open when you ar looking to go. You have a choice of Piskopiano village where Casa Blu is situated, also Koutolofari village and old Hersonnisos village which are all within walking distance from Casa Blu.