Wonder Woman Meets Baroness Von Gunther - S1-E2
Other mistake: When Wonder Woman is chasing the Baroness, she lassos her with her magical lasso. When she gets the lasso around the Baroness, Wonder Woman tugs on the lasso, but this pushes the Baroness in the exact opposite direction and into the swimming pool. Just before she falls in, you can even see the tension from the tug pulling her in the opposite direction, yet she falls in the opposite direction anyway as if she's been pushed, not pulled.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Other mistake: After Wonder Woman rescues Steve and another soldier from the burning Old Virginia Stables, in the next shot the textbox onscreen reads, "Shortly therafter in Diana Prince's apartment," but the proper spelling is "thereafter."
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."