I would do Waikiki first, then Aulani. It's a much busier area and a little easier to get to from the airport. I'm also a little jaded because I don't care for Waikiki, and I would do the whole week at Aulani. But from some people I know who enjoy Waikiki, the Sheraton is their preferred place. Avoid the Hilton Hawaiian Village.
The Kualoa ranch and Makapuu point are closer to Waikiki, and you can really do the whole east side of the island in one day from Waikiki if you have a car. Aulani is a little closer to the north shore but both are similar driving distance.
I spent 2 weeks on the north shore last year and these are my recommendations:
During surf season you can watch people at Pipeline or Vezyland beach. During the low season, you can snorkel at Shark's cove. Be careful if you want to swim. Pipeline doesn't even allow swimmers and some of the other beaches have 6 to 10 ft breakers.
Waimea Valley and Ka'ena point are both worth hiking.
Food recommendations are the Sunrise Shack, Giovanni's Shrimp, Okina Cafe, Kono's BBQ, Haleiwa Seafood, Jax Pizza, and Matsumoto's Shave Ice.
Kawela Bay has nice short hikes and a hidden beach, which has much more reasonable waves than the rest of the north shore.
TIA!
