If it's working on your own localhost, but not Godaddy.com , you should first and foremost try to submit a support ticket to see if that provides any help.
The links that are re-appearing, see if you can apply this CSS style to the links that you are trying to hide:
font-size: 0;
text-decoration: none;
That should do the trick of hiding the links, that is, if your CSS is affecting them at all. If not, try to "right click > view source" of the page, and then view and compare the source with your own.
Alternative if that does not work: Try making your links (in the HTML code) something along the lines of:
<a href="#" style="display:none;"> Text </a>
and seeing if that stops them from overriding your Styling.