@mr_fixit104 ,john, check that all door/hood lock contacts are aligned and clean, I believe if dirty/poor contact or not aligned vibration could set alarm off. From your manual,Security System Manual Override, the system will not arm if you lock the doors using the manual door lock plunger. The dealer may be able to change settings on the alarm. Link below is your manual, alarm section starts on pg. 18. Good luck.
I hope this helped you out, if so let me know by pressing the helpful button.
http://cdn.dealereprocess.com/cdn/servicemanuals/dodge/2007-grandcaravan.pdf