re: Why is the Edit link not visible?
Well, the answer is, the user and the entry are not linked. What we need to figure out is why.
Was the user logged in when they added their entry? If the user was logged in, how did they log in? Using the Login extension, the core WordPress login page or a third party login plugin? If it was thru a third part login, which one?
Does the user’s email match the email address in the Connections entry?
On the Connections :: Manage admin page, does the entry show as linked to the user account?
Do you have any membership type plugins installed? If you do, which one.