So there are multiple paths in this game... I had no idea if that would be the case. My friend who enjoys the Blazblue games told me that those games had those in the story mode, but since there weren't many dialogue choices, I didn't think there would be any diversion.
Every character (except Labrys and Elizabeth) has at least two endings, Normal and True, and many have more. As far as medals go, only the normal/true endings give you one on the select screen, but the "Completed" total reflects every ending.