We stayed at The Flower of Monemvasia for two nights. The location is excellent, with views of the sea and the Monemvasia mountain and walking distance from the bus stop, eateries, supermarket etc.
The apartment was a good size and clean. We had a 2 bedroom with kitchenette. It also had a small balcony which was too hot to sit at in the morning but great for drying washing!
The girl at reception was very friendly and helpful, explaining which places to visit and where they are on the map.
We had problems with our shower. On the second night, hardly any water was coming out of the shower head. Also, the wifi could not be picked up from our room on the second night.