The police officer, while talking to Gunnery Sergeant Carter (Frank Sutton), references the Marines action at Iwo Jima. The Battle for Iwo Jima involved ferocious fighting by the Marines against the Japanese forces on the island and was immortalized by the iconic and Pulitzer Prize winning photo by Joe Rosenthal of six Marines raising the American flag on Mount Suribachi.
Throughout this four-part story arc, the actors playing the other marines in Gomer's platoon change in each episode.