Hey there,
I am really sorry for the delay of this reply as it is a weekend for us here. It seems like this error is actually coming from your plugin "Social Buttons". It is trying to load a file which doesn't exist on the back end.
<b>Warning</b>: require_once(/home/support/public_html/administrator/components/com_content/helpers/route.php): failed to open stream: No such file or directory in <b>/home/support/public_html/plugins/content/socialbuttons/socialbuttons.php</b> on line <b>56</b><br />
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<b>Fatal error</b>: require_once(): Failed opening required '/home/support/public_html/administrator/components/com_content/helpers/route.php' (include_path='.:/usr/lib/php:/usr/local/lib/php') in <b>/home/support/public_html/plugins/content/socialbuttons/socialbuttons.php</b> on line <b>56</b><br />
As the ftp access can't work, I can't help you to check this plugin. I turned the plugin off and the back end works fine now