Sadly, without the prostitution detail it dont add up and now Yuki seems to feel indebt to Mikako and is not really interested with a friend Kaito. So i doubt she'll gladly accept this all.
Fk, ive thought he would tell about the prostitution. I dont get his fear of Yuki knowing means she might what? became a prostitute too? why? Tho she has the same shadow raper as Mikako