The aircraft carrier in the CGI segment has a "6" on the deck, so I suppose that makes it the Enterprise. However, I don't believe the navy used numbers on the flight decks in early 1942.
"World of Warships" is a computer game produced by "Wargaming" a Belarusian video game company with their main studio in Minsk. They built a huge set to film the video at Lenfilm Studios in St. Petersburg, Russia.
The LSO in the video is Dasha Perova, who appears in many of the World of Warships game segments. The Captain is Alyona Frolochkina, a Russian actress. The "Making Of" video is in Russian, but has English subtitles. A number of other music videos have been produced using footage from "Pin-Up in the Navy."