I feel like they talked, but CW was likely saying things how SW left with the girls to punish him, etc. I don't think during that car ride that he told his father that he had strangled SW because she supposedly killed the girls, or that they were strategizing what his story for the police would be. Of course, I could be totally wrong. It wouldn't be the first time.

I just didn't get that impression. I think whatever the police said during that next meeting, he realized they had enough on him and he asked to speak to his dad. I think that's the first time he told his father he killed SW. But....who knows.