I had a pool side room with a small fridge.
You can book a larger "family" room, which has a fridge. Make sure you stipulate you want this facility when you book. Phone up & speak to the owner, Ahmed - he is very helpful.
We had a standard double room and there was no fridge or mini bar.
No there isn't - that was one of the things we didn't like about the hotel as we couldn't keep water cold if we wanted a drink during the night
Best to check with the hotel, we didn't but you could get water 24/7 from a couple of places in the hotel where you refilled your own bottle with drinking/ water & paid a nominal amount into an honesty box.
We did not have a fridge in our room. There is a Bar on the deck and drinks are reasonably priced (and looks out on to a magnificent view) .
Get an answer from Hideaway Hotel staff and past guests.