Your site is running a jQuery script called 'backstretch' to display the changing background images. The Scripts to run this are not even being loaded on the JEvents page.
I don't think its JEvents in general that is the issue - see
http://thecountyline.ca/pages/about-us?option=com_jevents&task=month.calendar (I'm displaying JEvents on a different menu item).
So there are 2 thoughts I have:
1. could be how you have configured your backstretch. Is it applicable for the JEvents menu item page?
2. Could be related to the jevents latest events module - try disabling that as an experiment