By the looks of things you have installed ezpublish into a subdirectory on your server (not the main directory under public_html).
If you just uploaded the package from here and unzipped it using CPanel's File Manager or similar then that is what happens.
In order to unzip it to the main directory, you need to either unzip it using SSH into that directory, or download the zip file from here, unzip it onto your pc, and then zip all the subfolders under the ezpublish3.7etc folders into one zip file and upload and unzip that in CPanel.
(you would need to delete your current installation as well though to stop any confusion)
what url were you using to access the admin interface? and does your server have PHP as an Apache module or CGI installed, as that will mean that the url will have index.php?/ or just index.php/ in it.
