I really enjoyed reading the first play. I thought the interplay was really good, as well as the dialogue. I can actually imagine such dialogue being exchanged. It doesn't come across as fake or in extreme cases as it appears, lame. Really good dialogue.
I can understand why you didn't reveal the details of the murder case entirely, since once it's revealed, it's there. It's smart to set it up, but then you also need to know when to reveal it.
I don't have any qualms with this particular part of the story. Now I proceed to the second part. Good job!