My favorite spot for relaxing is the Terrace pool, all the way aft, that RichC mentioned. It's quiet, the buffet and bar are not far, and you can float in the pool and watch the wake streatch out behind.
Some other things I forgot to mention about the Caribbean Princess- On the first day out to sea between the hours of 6 PM to 10 PM the casino was reserved for the non-smokers. This was the first time I’ve seen any cruise line (other than the Carnival Paradise) ever limit smoking in a casino at any time & it was enjoyable without the smoke. I suppose if it proves profitable they might consider repeating it on other nights in the future. It sounds as though they do listen to the passenger requests at times.
Food at Café Caribe changes from diner menu to sandwiches & other hot items at around 11:000 PM.
For the Elite members- the wine tasting that was offered for free (others pay $9.50) is usually not an event that I attend, but on the CP they included one of those fancy colored after diner glasses they sell in the restaurants for the price. Had we known, we would have gone just for the free glasses.
On other Princess ships they always print that shorts & T-shirts at not permitted in the dining room but on the CP they don’t allow them either at breakfast or lunch. I’m not sure if this rule is strictly enforced or not since the food in either the Horizon court or Café Caribe was fine. This appears to be another silly rule that they’ve dreamed up to make the dining room atmosphere more formal- but at lunch! I can’t imagine many people taking the time to change from shorts & T-shirts to long pants & button shirt just for eating lunch.
Another new rule (at least for me) was the “no short sleeves in the dining room on formal nights rule”. I don’t own a long sleeve shirt but I keep my jacket on during diner & didn’t test them although I haven’t worn a tie to diner in years & nothing has ever been said.