Since my support tickets were not answered, I'm trying to work through this with my limited knowledge myself. I was able to solve some of that looping but I'm still experiencing weird problems with my subdomain for example, and now I can't access account portal anymore.
I've having the same issue as you it seems. My site looks fairly close to yours with just an "Index of /" page. My support ticket has also gone unanswered. You said you're trying to work through it yourself, if you figure it out, can you let me know? Someone else told me it's because my index file is gone, but it's not.
I'm having the same issues also but with 2 sites. Support ticket has gone unanswered. I get the same thing with my wordpress site but on my prestashop site it tells me there is an issue with the dns through cloudfare but refers me back to X10 and use cloudfare through cPanel. Only problem is that cloudfare is missing from cPanel.