The episode title references the "Ten Little Indians" theme from "And Then There Were None". Both plots involves a murder mystery on an island where no one can leave during the stormy night.
When Nate & Sophie are talking to the lawyer at the beginning, she mentions that she worked at "McGann, McCoy, & Baker". Those are the last names of the actors that have played the 8th, 7th, & 4th Doctor, respectively, in the show, Doctor Who.