Oooo, neat swords both.

And since there are a few captains in the Bleach Cannon with one-shot/near one-shot abilities in their swords, that sounds alright to me. I imagine your character's going to be the leader of the Jacks anyways, so a powerful weapon seems a given.

Also, having Togame be a descendant works, especially if she stays at a lieutenant level. I'll rework her history a bit to reflect that.