When Martha Raye sings "Okolehua", her hairstyle changes from being down at the sides of her face, to up away from her face in the middle of the number.
The pattern of the robe that the bride wears in the opening number changes from shot to shot.
During the the close-up scenes where Crosby is smoking his pipe while steering the ship's wheel with Ross beside him, there's a cut to a shadowy long shot of Crosby and his pipe steering the boat alone. Then it cuts back to a closeup of him with Ross at his side.
Inexplicably Martha Raye encounters a chimpanzee in the tree she climbs. Chimps are found in Africa, not the Pacific.