Bow and Arrow really doesn't have a purpose, because we already have massively powerful guns at our desposal.
Fist fighting is too close to fighting in real life for Disney to add it. Some of you will argue that "Oh, so blowing up your enemies is fine, but you can't punch them?" Well, lets think about this. Not every child has a cache of grenades in their parents tool shed. But with fist fighting, kids can go right ahead and imitate that, with their friends, with strangers, even.
Whip... eh. Using a whip would just feel a little too weird for my pirate. It feels a little too.. Viking-ish, I suppose? Besides, whipping is a very punishing form of
torture, not killing, although it is possible. I think torture in a childs game would be pretty bad.
Cursed/Magic Blades is probably going to be a new type of sword (Cutlass, Broadsword, etc) though I think it being a new type of sword is more likely. This would be my second choice, if I had to choose.
Dual Wielding is definately a want for me. Being able to wield two swords at once (I can only dream of me wielding my two El Patrons right now

) just seems too cool for school in my opinion