The rooms are pretty much like most hotel rooms in Greece in that they are basic, however they are spacious and clean. If you have a choice I suggest you ask for rooms overlooking the pool as they are more modern.
As far as I know the rooms don't have fridges, however there are apartments overlooking the pool & I'm sure they have. If your bed & breakfast then chances are there's no fridge. There are two small shops nearby which are open until about midnight from which you can buy chilled soft drinks etc. I'm not sure if that's much help to you. I have no doubt that you will have a lovely holiday staying at the Family Inn.
Excellent restaurant, very good food and nice people.