Cover combines figures from story page 4, panel 3 (Pied Piper) and story page 9, panel 1 (the Flash), found in "The Pied Piper of Peril!" from The Flash (DC, 1959 series) #106 (April-May 1959). Also has new altered background.
The Duke of Deception is called "Duke Deception" in this story; Queen Hippolyta celebrates her birthday on Paradise Island; the tallest building in Skyscraper City is Skyscraper Tower, modeled after the Empire State Building.
Second instance of a parallel universe in DC Comics; the first was Wonder Woman (DC, 1942 series) #59. The villain in this story is not named, but he does note that on his world, "crime-- not justice-- triumphs," similar to the world of the Crime Syndicate of Earth-3, introduced in Justice League of America (DC, 1960 series) #29 (August 1964).
Wonder Woman makes dinner for Steve Trevor at Diana Prince's apartment.