To javirak
***Warning, Spoilers ahead***
No, the other body is that of Nami's friend Sandra. If you go to her apartment just before talking to the killer for the last time, you find her body.
The case wasn't solved... officially. In the second episode it's possible to find a newspaper that tells you that the case fell apart in court and the killer got off. Such is the reality of police work. The news paper is in the locked room to the left of the stairwell, click on the ID from Dr. Ferrer's office to unlock it briefly.