Yes, you’ll be given the towels

Yes they do

Yes they do. You sign your name and room number at Reception and you return it there after your swim.

Yes

Yes, you can request 1 time per day from the receptionist.

Yep

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.