You have the gist of it. They eat what they can fish or farm.
Now what they DO have going for them is incredibly fertile soil. I was working in a guy’s farm once. We were harvesting some starchy vegetable. He took me to a small row on his farm with a bunch of two or three foot sticks coming out of the ground. We dug around one of the sticks, and pulled up a gigantic root vegetable. I forget exactly what vegetable it was—but picture like a 15 pound potato. I think it was kind of freakishly big. More than enough to feed a small family for at least a few days probably.
He cut the stick off of the root with a machete and stuck it a few inches into the ground a few feet away from the hole we’d just dug out. That was him re-planting. So in terms of farming, they have plenty of land to grow more than enough food.
What I don’t know is what a storm surge flooding the farm would mean for the immediate future, or even the next few years. I’m no farmer—but I can’t imagine a flood of salt water into the farm is ever helpful.