Keikyu uses "nori hodai" to describe their passes on their web site so there is nothing awkward about that. Japanese site lists the Miura hantou 2 day pass at 2000 yen when purchased at Shinagawa. The English site only lists the purchase price at Haneda, which is 2300 yen.

With that said, I don't think the 2 day pass makes economic sense if you are making a simple round trip to Yokosuka. Shinagawa to Yokohama will cost you 290 yen, Yokohama to Yokosuka Chuo will cost 350 yen, and Yokosuka Chuo to Haneda Airport is 790 yen. It adds up to 1430 yen.

The N'ex + suica is probably your best bet here, especially if you can catch the N'ex to Yokohama.