Hi
1 - Yes, was using http, got access with https
2 - Confused: sh404SEF was disabled?
3 - after enabling it, I requested a non-existing page, and I could see the sh404SEF was trying to be displayed, but I got a white page. After enabling Joomla error reporting, I got the error message below:
<html xmlns:og="http://ogp.me/ns#" xmlns:fb="https://www.facebook.com/2008/fbml" lang="en-gb">
<head>
<title><br />
<b>Notice</b>: Undefined property: JDocumentHtml::$error in <b>/var/www/www.xxxx.it/app/public/templates/xxxx/error.php</b> on line <b>13</b><br />
<br />
<b>Fatal error</b>: Call to a member function getCode() on a non-object in <b>/var/www/www.xxxx.it/app/public/templates/xxxx/error.php</b> on line <b>13</b><br />
I tried also to switch to protostar, but there is also an error with it, though a different one. One more strange thing is that I cannot access any of the sh404SEF popups, neither the configuration, nor modify a URL or others. Have you experienced this?
There is obviously something really wrong on your site here, but I can't find it out online. I would like to disable all system plugins to check, but that can't be done online. I will take an akeeba backup and install a copy on a local machine, to be able to step through the code, particularly to understand what's blocking sh404SEF configuration to open up. I can't do that ATM, as I am on a phone connection, but will try tomorrow again, at most friday.
Rgds