Would DC Comics introduce Diana's twin brother only to dispatch him so soon? And would he be defeated by Diana, after being manipulated by the Dark Gods? We would wager that Jason sees reason at some point - Diana's greatest superpower is love, compassion, and truth, after all - but anything is possible. Especially with the final splash page promising a war between gods that lives up to the name.
The New 52 universe does not have a "Diana Prince" identity as stated in an interview by series writer Brian Azzarello. However, when she and Superman began dating, for her civilian identity she used the Diana Prince alias whenever she was around Clark Kent; such as when she introduced herself to Lois Lane at Lois's housewarming party under that name.
Having learnt of Wonder Woman's inability to return to Themyscira, Doctor Veronica Cale, a wealthy and powerful woman, set into motion a plan to use Wonder Woman to find Themyscira. Years earlier, Cale's daughter Izzy had her soul stolen by the gods Phobos and Deimos. They told Veronica that they would only return her daughter to her if she helped them find Wonder Woman, and got the location of Themyscira from her. Seeing no other option, Cale had formed a team called Godwatch, dedicated to locating Diana and Themyscira.