Can you please check if the same happens with one of the default themes that are included within WordPress (such as TwentyFourteen) you can do this without altering the site itself by installing the Theme Test Drive plugin.
The first issue that needs resolving is the fact that your site is loading jQuery twice: once via WordPress (correct!) and a second time direct from jQuery.
I can only assume the theme is doing this, due to your above comments. The theme looks like a modified version of an unknown Woothemes theme (Woothemes are normally very good about following WordPress standards).
Resolving this may or may not fix the calendar issue, but it will give us a level playing field from which to troubleshoot further.
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