When Michael sticks his phone around the corner to play Jane a song from it, it is showing the "play" icon. If the phone was actually playing music, that icon would have changed to the "pause" icon.
When Rafael surprises Jane in the staff locker room at the hotel, she says she texted Petra so they could meet. "trying to put a name to the face" but she should have said a face to the name since she had never seen/met her before but knows her name is Petra.