Here are recommendations on things to do in Hawaii from a friend who used to live there:
Big Island
Akaka Falls
Volcano Nat’l Park
CUTE LITTLE ZOO ON HILO SIDE
BAY WHERE CAPTAIN COOK DIED – NEAR TOWN OF CAPTAIN COOK
CITY OF REFUGE – ON THE WATER; STATE PARK; GOOD SWIMMING AROUND IN NEARBY BEACH
Honolulu
Bishop Museum
Academy of Art — (GOT TO MAKE RESERVS IN ADVANCE FOR LUNCH THERE)
Iolani Palace
Chinatown
Waikiki Aquarium ( very small, right near/on the beach)
Hanauma Bay
The drive from Hanauma Bay to wherever the road turns away from directly by the water – before Waimanalo