When Ricardo exits the plane into the water and runs to meet Rosalind, his pants go from being submerged in water to dry on land.
When the plane is landing on the island, at touchdown, it is clear there are no passenger in the back seat; in the next shot, the plane is coasting to a stop, and Rosalind is in the back seat.
"Chita," the Chihuahua that Xavier Cugat gives to Jimmy, is said to be a female dog, but at about 1hr 31 mins, the dog's male appendage can be seen.
It's extremely unlikely that the natives on the island would have the equipment or expertise to take a wheel off the plane and remove essential equipment from the cockpit in the little time that Rosalind and Larry were away from the plane.
Buckley stops in the island 'jungle' to look at a toucan, but the island is supposedly in the South Pacific; Toucans are only found in the rain forests of South and Central America.