No other users have been reporting any errors regarding login with LinkedIn, which leads me to believe it might be your LinkedIn application and something being configured incorrectly. I am aware that it is on the LinkedIn side, so after a quick Google search, other websites encountering the same error had used the incorrect api and secret keys. This is the reason why I suggested that as a first step for you to look at.
If those values were input correctly into JFBConnect configuration, could you take a screenshot of your application settings at developer.linkedin.com and attach them to a PM for me? You can find the PM envelope icon under my avatar and add the file by uploading, then hitting the green arrow to attach the file to the message.
-Melissa