On dineout-indy.com, things seem to work. I was properly brought to the Login / Register page of JFBConnect, which means that authentication has worked.
However, on do-indy.com, I get an error message from Facebook that the URL is not correct for your FB Application. A Facebook App can only work on one domain, so you won't be able to use the same application across both of those sites. It's generally not recommended to have 2 domains for the same URL anyways as that's really bad for SEO, branding, and other purposes. I'd recommend redirecting one of those to the other and using one application. Otherwise, you'll need to setup 2 different application and use a different one on each site (meaning that users will have to approve both applications).
I hope that helps, but if you need anything else, let us know,
Alex