I agree that they're all lying but I guess it comes down to who is lying the least. I believe AW when she says JC and the youth assaulted Logan. I think they all at some stage handled him roughly but the major injuries were caused by JC and the youth. I think AW did grab him, burn his neck with a spoon and throw him on the bed but that's not enough to fatally injure him.
AW was obviously awake when Logan died, I presume she was sitting with him in his room hoping he got better. She wouldn't really know the extent of his internal injuries although it would have been obvious he was in a bad way, I think she deludedly hoped he would recover.
I believe the adults agreed on the plan to dump him and make it look like he wandered off/was abducted.
I also think the youth had been systematically abusing Logan for weeks, punching and kicking him probably when they were alone. I think he did push Logan down the stairs and I also think he caused the shoulder bone injury which had incorrectly healed.
I'd say JC and youth guilty of murder, AW not guilty of murder but guilty of PTCJ although they may all be found guilty under the 'joint enterprise' doctrine.
I'd like to see them all be found guilty and get life but it's a complicated trial.