Larry Page, who cofounded Google in 1998, is the second-richest person in the world.Bloomberg/Getty ImagesGoogle cofounder Larry Page has been battling over two Caribbean islands for almost 12 years.Another party laying claim to the islands may now drag Page's camp back into court.The case has offered a rare glimpse into Page's highly secretive family office.After nearly 12 years of courtroom warfare, mounting legal bills, and family office intr…