Fail: Facebook Javascript library not found.

For caching, please make sure you're not using the System - Cache plugin in Joomla. That plugin can cause various issues with many extensions, which is why it's disabled by default. The caching settings in the Global Configuration area can be used without issue.

As for JS Compression, yes, that can cause what you describe. Can you tell me what extension you're using, what setting you're using, or any other information about what you're actually configuring? That will help us narrow things down. In general though, if there's another extension altering our Javascript, unknown behavior may happen and that's something you'll need to work through with that extension provider if it's causing problems.

Finally, regarding Autotune, hit the "Refresh" button to fetch new settings for your new domain.

Thanks,
Alex