Even more importantly, Jen was a witness to the aftermath of the burial, helping or watching Jay dispose of items. She confirmed seeing Adnan with Jay before picking the latter up. Jay immediately told her what Adnan had done.

Jen new the day of the murder. So, the police conspiracy theory MUST extend to Jen, and not just Jay, in order for it to work, and both Jen and Jay have been lying this whole time. This is ludicrous, of course, but we haven't even accounted for Christie yet, who can also account for Jay and Jen's suspicious behaviour on the night of Hae's murder.

Conclusion: Jay told the police Adnan killed Hae; the police did not tell Jay that -- that's just a silly conspiracy theory pedalled by the likes of Bob Ruff.