I have a similar problem in that on my computer at work, all the posts on my site display “Edit This”. If I click on that, I end up at the log-in screen. Apparently I am not actually logged in, but the computer thinks I am. Also, if I try to comment on one of my posts, it displays my name and “log out” with no open blocks for name and email. Yet I cannot post a comment because I’m taken to a screen which tells me I must leave a name and email to post a comment.
I don’t have this problem with the computer at home.