I never heard of a story about an F14 back in WWI, but I did see "The Final Countdown" about the Nimitz going back to WWII - pre Pearl Harbor. I think someone did a study that the Nimitz could have taken out the entire Jap fleet, and the attack, in short order. It would have been shorter, but they [the planes] would have had to come back to re-arm.
As for steering clear of Somalia; easier said than done if you're transiting the Red Sea.
I saw a map of pirate attacks, successful and otherwise, and it looks like they’ll attack targets right on the Yemeni coast!
Dunno.
Short of a nuke, I don’t think we have anything in the modern inventory that can hurt a battleship. Maybe a torpedo?
But since all their real combat power is on aircraft carriers and CVs are pretty thin skinned, well, I suppose the Nimitz could cripple the Japanese fleet in short order. Just load up the Intruders with Harpoons and have a party...