system
Given the following post, respond as if you're commenting on Reddit:
human
How would Gilligan's Island REALLY play out?

If an aging millionaire couple, a dashing and brilliant professor, a glamorous film star, a hardy sea captain, a teenage girl, and an incompetent sailor were stranded on an island, what would happen? Who would assert themself in charge? Could they survive?
gpt
If the sea captain was in any way competent, he'd make sure everyone stayed calm and then would do his best to remember everything he had been taught about emergency situations like this. Once everyone was done panicking, they'd defer to his experience. (Maybe a little arguing, but again, assuming a competent captain, he'd shut them up. This is also assuming he has any actual training and is a legit captain and not just a guy who owns a boat.) 

First, they'd all be checked for any kind of injury. Once it was entirely sure everyone was okay, they'd make sure to grab every ounce of food and medical supplies from the ship and find a decent shelter.

This is assuming the professor is knowledgeable of basic survival skills, maybe augmented with the captain's experience, they'd gather what they needed and work together to make sure they had a shelter that would last not only a single night, but the possibility of a longer stay. 

After that, the captain would make sure everyone stayed calm while the professor worked to repair the ship's radio. If that's a total lost cause, they'd work up either a big enough fire to send a huge smoke trail or possibly flag signals. The tour was only 3 hours long, which means they didn't deviate from any well known routes that much. A ship or plane WILL come near at any time. 

An island this close to a dock populated enough to give three hour tours is also most likely inhabited, even if it's on the other side of the island. Some members of the group may be tasked with walking/hiking over there to get help. 

If the island is completely uninhabited and there isn't much food, the professor would be asked what is safe to eat and drink. It would be rather unlikely they'd go on any sort of hunting expedition because tropical islands either have small animals, endangered species or animals inexperienced hunters would have real trouble in catching. They would, however, do a LOT of fishing. The incompetent sailor would probably be in charge of this, since all he has to do is cast lines and pull them in. 

Again, since the tour was so short, rescue would probably only take a few days at maximum. Their story would be national news for a brief time, but they'd be eventually forgotten by the public, no matter how many times they try to make a sitcom out of a desperate survival situation.