The Return of Wonder Woman - S2-E1
Factual error: When Steve gets attacked by the bad guys and Wonder Woman shows up, the lady in the car pulls out a camera and films the event. She sits still, the car isn't moving, and she does all the filming from the same position. However when she watches the playback, the film shows footage from multiple angles and varying distances, which is impossible because she and the camera were in the same spot the whole time.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Factual error: When Wonder Woman is running toward the burning Old Virginia Stables, she passes a modern 1970s era vehicle parked on the road.
The New Original Wonder Woman - S1-E1
Factual error: When Wonder Woman drops Steve off at the hospital, the nurse (a first lieutenant) is wearing her silver bar vertically on her collar. It should be horizontal.
Wonder Woman in Hollywood - S1-E14
Factual error: Wonder Woman is flying to Hollywood, and the iconic sign is shown. However, in the early 1940's (when this season is set), the sign read 'Hollywoodland'.
The Starships Are Coming - S3-E15
Factual error: The lettering of the Outside Broadcasting van spells 'Pittsburg'; it should read Pittsburgh.
Spaced Out - S3-E14
Factual error: The word sensor is misspelled as 'censor'.
Pot of Gold - S3-E11
Factual error: When Wonder Woman deciphers the hiding, it is spelled 'hanger' instead of 'hangar'.
Fausta, the Nazi Wonder Woman - S1-E3
Factual error: The map of Europe has the 1970s countries and borders; it is not a World War II map.
Answer: Yes, on the first episode of season 2, she is shown on the island, when another plane crash lands, she says, "They sound different from WW II". Later in the same episode a woman gathers background information on Wonder Woman. The woman says, "From 1942 to 1945, she helped the Allies win the war."