JFBConnect v6.1.0 introduced support for Graph API v2. Unfortunately, since you are using a version earlier than that, yes, you will need to upgrade.
Once you do upgrade JFBConnect:
JFBConnect is built in such a way that we will try to use Graph API v1.0, if available, since it's actually more flexible. However, when Facebook pulls that trigger in April and kills v1.0, we will seamlessly work with 2.0. If you want to make the change now, you can go to the Facebook Apps area and then to Settings -> Migrations and enable the "Use Graph API v2.0 by default" migration setting.
Let us know if you have any more questions.
-Melissa