Revealing mistake: When WD-40 is parachuting onto the island at the beginning, he throws a match through his parachute. As the shot changes, you can clearly see the smoke canister that was producing the effect of the parachute being on fire, swinging from beneath the canopy.
Revealing mistake: When it shows the guy who had his arms blown off when he isn't wearing fake arms, his body is obviously wider, indicating that he hid his arms under his shirt.
Chosen answer: The lady in the red dress is definitely Dr. Joyce Brothers. Her presence is not a spoof of anything. Just another way to add humor to an already humorous movie.