During the scene where Dana is thrown off the boat and Louis catches her, you can see by both actors expressions and the noise Tammy Lauren makes, that the impact actually hurt. Depending on what order the episodes were shot in, this could have been a contributing factor to Lauren leaving the show so early into its first season.
Chico's business type turboprop is a very uniquely configured craft. Twin engine turbo, pusher prop, vertical winglets of the main wings, canard (a small second set of wings at the nose) in the 6 to 8 passenger range. It is a Beechcraft Starship 2000A; only 53 Starships were ever made and at the time of this episode they were being actively pulled out of circulation. The model was a failed experiment, slower and more expensive than competitors.