Your home page is appending "Index.php" to all image file requests on the home page. So to start investigating this issue, why does your server have an URL
http://www.azdavay.com/x3/Index.php ? I am curious why your server allows "Index.php" and what that file is doing there.
Your diagnostics:
http://www.azdavay.com/x3/?diagnostics
Where is it getting "Index.php" (with uppercase i) from? Either you are renaming files, or your server is misconfigured.