It's awesome you're going to catch Pearl.
There is a ton of history in a very small area.
The Missouri is right next to the Arizona. There is the visitor center as well as the Bowfin.
Waikiki is just down the street from Honolulu Harbor if that is your thing. You should be able to get a picture of the Aloha Tower from the deck.
Dont forget to look across the harbor to see if any of the Coast Guard Cutters are in.
The further you are from Waikiki, the cheaper the food.
Might I suggest Spam musubi? Perhaps Chili and Rice from Zippy's. Look for locomoco on the menu. If someone offers you a hot malasada, say yes. If you see an L&L Drive In, go for it. It's cheap, quick, and local.
Oi! I think I've gone on long enough. Now I'm homesick.