The Remote Island is the island where SpongeBob, Patrick, and Squidward land after being hit by a giant wave in the episode "SpongeBob SquarePants vs. The Big One."
It is home to teenage surfers, as well as Jack Kahuna Laguna, who lives in Kahmamoku Cove. The island looks like it has a huge surfboard-shaped mountain on it from a distance and it also has a long dangerous river full of waterfalls, which leads to the cove. It is also full of vegetation and forest, perfect for surviving.
Role in episode
This is where the trio meets JKL after getting hit by a big wave. The other inhabitants introduce themselves as well.