The items that told me the data could not support the model:
Singularity Details report (although it is not shown, I know it is there)
From the Parameter Estimates table: The words Biased and Zeroed. We don't want to be biased! That should tell you to not trust the results -- they are biased! And Zeroed means that JMP "deleted" those terms from the model in order to try and give you some results. However, JMP really does not know the system so there is no way for JMP to know which terms should have been removed. A mathematical choice is being made based solely on the order of the terms you specified in the model.
From the Effect Tests table: LostDFs which leads to no statistical testing for those effects.
Dan Obermiller