are you getting any errors in admin panel or is it saying that options were updated? Also I’ll need to see live site, issue can be caused by a lot of things, it’s hard to tell right now.
If options are saving well I suggest to clear the browser or theme (if you’re using caching plugin in WP) cache. Also if you’re using any kind of maintenance/coming soon page plugin deactivate it.
Adding Font Awesome won’t be easy because since theme realease there were a lot of changes to the icons and their code structure. And since theme uses icon class in multiple files adding new version of FA would cause a lot of issues. And recoding all of this it’s not something that support covers.
Here is my prelive site: http://a1a.808.myftpupload.com/home/ I don’t get any errors when I update the typo in theme options, it saves just fine but it doesn’t update on my prelive site. When you say clear the browser or theme, what do you mean exactly? Clear my cache?