On the site you linked to, you look to be using JFBConnect v4.1. That release is over a year old now. We'd highly recommend upgrading to JFBConnect v5.0 which has numerous improvements and bug-fixes. We have no reports of v5.0 or even the last v4.3 release not working on Chrome, so that's my best suggestion.
If that doesn't help, or you don't want to upgrade, you'll need to post from the account you subscribed to JFBConnect with if you want us to investigate further. Priority support is for subscribers only.