JFBConnect doesn't have this type of ability built-in. However, Facebook has multiple tools for seeing stats about your page, like their Analytics tools:
www.facebook.com/analytics/
You can see all the available monitoring and debug tools in their listing page here:
developers.facebook.com/tools-and-support/
I don't know of any specifics that will show the highest shared page or something like that, but if you find something that does what you're looking for, please let us know!
Thanks,
Alex