Using the Power-Up cards correctly is required for getting off the island. The Magnets can pull any card to the position of the magnet, even if the cards are covered by other cards. The Key can remove any visible Lock (even when slightly covered by other cards). The Jokers remove all of the remaining cards of the same card you click on, but only work on face-up cards.
To unlock clues, find the hidden objects underwater and on land. A keen eye and patience are required to find them. However, there is no time limit and you have unlimited "hints".