I'd be the shelter builder.
I'd cook !
I'd be the entertainer :D
Healer
So not likely to happen in the modern age: SatNav, Internet, smartphones. I'd be the guy giving our coordinates to the Coast Guard.
Then I'd scratch up some local eats for our crew to chow on until our aid arrives.
I would get people and items organized. Make an assessments of what we have and who needs the most help.
Whatever need to be done at that moment.
If I'm being social, probably a secondary "station". High enough to have power, but discreet enough not to be burdened too much and operate behind the scenes
If I'm not, probably just that one feral hermit :p
I would be the one following Z around like a puppy dog till rescuers come for us. LOL!
Or I would be the one in the corner crying cuz there is no internet on this boring island!
Or I would be the one hiding in a bush some where having a second honeymoon with my husband!
Or if I wasn't following Z around, realistically I would be with Tiger asking the crew "How can I be of assistance?"
Can I make the whoopie cushions?