Yes there are hairdryers in the bathrooms.

We arrived quite late. Come with food because nothing is open around there. Nos chegamos muito tarde, 10.30 da noite. Venha preparada com comida porque nada está aberto a essa hora.

I think there is a cupboard behind the reception desk

Yes. They are apartments and have dishwasher and washing machine amongst other things.

It is but it's very unreliable despite a strong signal from transmitters around the pool area. It is a captive portal that is very poorly configured and requires constant log-in authentication making browsing and using video and radio sites impossible. Bring your own mobile data plan to avoid this nightmare.