Hi,
as seen in the picture below, the bar that shows in which league you are is broken.
I can't change my team at all because the girl symbole is missing. And from your forum post (https://blog.kinkoid.com/patchnotes/patch-notes-hentai-heroes/) it should be next to the broken bar...
And yes the All Mastery Emblem is used up after a single battle but the League Mastery Emblem works as intended.