Thanks for the additional information. I am sorry but I still do not understand how I can help.
It should be possible to fit some panel models in JMP or JMP Pro. You might want to search for "Mixed Models" or "Random Effects Models". This resource from @jiancao might be useful.
If you want help to fit specific panel models in JMP then the best thing that you can do is to attach some example data along with a description of the model that you would like to fit.
I hope that helps.
Regards,
Phil