Well, it's Melina's office; she must know. So call Melina and ask for it --
Hint 2
-- but not right away. For some reason, you have to go talk to Niobe first.
Hint 3
Niobe asks you get her access to the coin display. Call Melina about that, and now she'll tell you where the filing cabinet key is.
Hint 4
Melina says she keeps it in the office, in the puzzle box with the animal figures in the open bookcase next to the filing cabinet. Of course. Who'd leave a key where you could actually, you know, use it?
The left drawer contains the key for the coin display and a sticky note with the computer password. The right drawer contains the labels for the vase display and timesheets for the staff.
Hint 6
You don't need to memorize those timesheets, but you should flip through them once to trigger a question for Melina later.