Agree with Karma and Karasuma.
I agree with Asano's son, but I'm not sure about Asano himself. I got spoiled his backstory from my friend who read the manga and I think he's way too unhealthy to type judging by how his personality was before.
I was gonna say ENFJ for Irina, but actually when she's not working she seems a lot more like an Se-dom than an Fe-dom. Fe is more of a tool for her. She's definitely on the Fe/Se axis either way though. But I'd say you're right actually.
Also gonna add a character myself.
Rio Nakamura: ESFP