Yes, you’ll be given the towels
Yes they do. You sign your name and room number at Reception and you return it there after your swim.
Yes, you can request 1 time per day from the receptionist.
Yes they do you just sign for them.
Yes, of course! Only 1towel per person and every time when someone needs it then you need to ask in the reception and sign their book and when you finish you need to sign yourself out. And also in the hotel room as I remember you will get 4towels but you can not take the white ones for swimming.
Get an answer from Hula Hula Resort staff and past guests.