It's possible, but I'm not sure what is loading that content.googleapi.com to begin with. Off the top of my head, that shouldn't be loaded just because you have Google authentication enabled, so I don't think that script is being loaded by JFBConnect.
Have you run any tools, like
gtmetrix.com/ to see where the slowdown actually is?
The first time you run it, it may be slow. If it speeds up a second time, that means caching on your server is helping.. which also means your server may be slower than it should be and is relying on caching.
Other stats on there for things like time to first byte versus dom load.. That can help understand if there are any scripts slowing down the viewable amount of the page.
Thanks,
Alex