Although both Kazumi and Murakami know that Kuroha doesn't fully remember she got some of her memories back, they're threading on thin ice with her explosive jealousy.
Murakami seems more easy around girls more, maybe that pity date can teach him some basics but raises hope in Kazumi.
More people get to know about their superhuman abilities, maybe their existence to be known and being in the spotlight could shield them from the Institute.