Yes they d.
Yes we had them supplied and they are changed daily as wel.
Yes - you will find white towels for incabin use and blue towels in the cabin for pool use, together with a polite notice that if you do not return them to your cabin you will be charged $20 to your on board account. (However I hve yet to hear of anyone actually being charged) It tries to deter you from leaving them on the deckchairs to save your place for hours on end. There is a towel deck attendant around the pool area so you can exchange it for a dry one after use. If you go up on deck and have forgotton to take your towel - you can take one from the deck attendant after signing a $20 deposit. Hope this helps.