This is the short version. I'm working on an analysis of the characters.
Kyoko - ESE, probably E2. She's kind of a female Tamaki Suoh, had the latter been severely disillusioned and then gone on a yandere rampage. (Also notable is that both Skip Beat and Ouran High School Host Club have a similar energy to them.)
Sho - SLE
Lory Takarada - So. Freaking. . I could see EIE, mostly because I don't particularly see in him.
Yashiro - If not ego, some kind of Ethical.
Ren - This one will require a long explanation, which comes later. I could see his persona being xII, though, with a leaning toward LII.