For anyone having troubles getting Kelly to talk about Yuki, I did the following:
Go to hospital
Tell Kendara about pain and get hospitalized
At night call Kendra for coffee
Ask for sugar and put sleeping pills
Take badge and exit room, go down 1 floor and try archives
Do whatever you want and go to next day
Go talk to Michelle and she will hopefully tel you se'll try to do something about getting your info
Wait next day and talk to Michelle again, she'll finally tell you that the receptionist is new and doesn't talk to her
Spy again on Kelly and receptionist
Next day you should have the dialogue unlocked.
TBH, the way this game sets event/conversation flags is horrible.