Solved Profile information does not save

Ok, do the same again, then right click on the two highlighted scripts and block the URL in the context menu. Then refresh the page and try to save something in the profile afterwards.
The browser console must remain enabled during this test!
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I blocked those scripts, but I'm still not able to save anything in the profile.

What happens if you deactivate these two extensions JEvents and ConvertForms in the backend?

Nothing, same results. Also those plugins were already installed when this was working. 

Is the website new or has it been upgraded to current version.
If the website is online can you provide a link after it maybe that will make things more clear.
And if I google a bit on the internet it could be that you moved the website from Godaddy to your current hoster but you had some problems with database things?
ps
And often you can restore backups with a hoster maybe you can check if that also works in your case and then back before you got this problem.?

I did not move the hosting. The website was built new from the ground up on Linode and never moved from or to anywhere. The only thing that changed in regards to godaddy was trasnferring the domain from godaddy to namecheap and then pointing it to my site. That and the addition of the SSL certificate were the only changes made. No Joomla updates were made after the SSL cert and domain changes were made.