What happened to Lori between 9/3 (when she enrolled JJ in school) and 9/24 (when she withdrew JJ from school) that caused her to seemingly change her mind about JJ being at school? Though it's not out of the question, to me it seems odd that in just 14 school days (or less) she came to the conclusion that enrolling JJ had been a mistake, that Kennedy was not the place for him, and/or that JJ should be homeschooled instead.
If removing JJ so quickly wasn't due to her dissatisfaction with the school, maybe it was that during this period of time Lori (and possibly CD) outlined a plan (or the next part of one) which prompted Lori to go into action. After all, Lori and CD's decision to get married was either made after TD died on 10/19, or it was made before.
Even if the decision to get married was made before JJ was removed from school on 9/24 (and that's a big if as it could imply a conspiracy, and as of now there's been no evidence that TD's death was even a homicide, let alone the result of a conspiracy), Lori still could have waited until after TD's death (but before the wedding, or trip) before removing JJ from school. Why was she in such a rush? Again, it could just be that for whatever reason she wanted JJ out of the school environment and at home, but it just seems odd to me.
As I mentioned before, I wonder if it's possible that between 9/3 and 9/24 Lori (with or w/o CD) developed a plan for the children's relocation/disappearance, and resolved that that plan should be carried out sooner rather than later. More speculation (and one degree further removed), but among other things, this plan could have included: having the children stay with someone in the cult (or group) in some state like ID or UT (where CD knew people), or having the children stay with someone in AZ (where both Lori and Alex knew people), or something more nefarious.
Possibly connecting the dots... We don't know for a fact that Alex was back in AZ on 10/2 (though some suspect he was involved in the attempted shooting of BB in Gilbert AZ that day), but IF he was, he either had to have traveled from ID to AZ by car or plane (or I suppose by bus or train, but I think those options less likely ). I mention this because IF Alex travelled from ID to AZ in this time period, the specific dates and method of his travel might be relevant to locating the children, especially when you consider that JJ was withdrawn from school on 9/24 and that the children have not been seen or heard from since.
I'm sure LE is keeping many things close to the vest, but I wonder if they have been able to determine whether or not Alex made this trip, and if he did, whether he travelled by air or car, and whether the children were possibly with him. Certainly you'd think they'd know if it was by air, as they could check flight manifests. And they may even have checked out the ground scenario as well, seeking video and cc receipts from places along the most probable routes. Again, just speculation. Hoping to help locate the children. MOO