I would start with:
<script type="text/javascript" src="https://djsilkworm.com/wp-content/plugins/scripts-gzip/gzip.php?js=wp-content%2Fplugins%2Faudio-player%2Fassets%2Faudio-player.js%3Fver%3D2.0.4.1%2Cwp-content%2Fplugins%2Fwp-cumulus%2Fswfobject.js%2Cwp-content%2Fplugins%2Fwp-polls%2Fpolls-js.js%3Fver%3D2.50%2Cwp-content%2Fthemes%2Fmystique%2Fjs%2Fjquery.mystique.js%3Fver%3D2.4.2%2Cwp-content%2Fplugins%2Fsexybookmarks%2Fjs%2Fsexy-bookmarks-public.js%3Fver%3D3.2.6"></script>
This is generated by /scripts-gzip/ plugin. I can name few things wrong with this “picture” and starting by the wrong place where the plugin is inserting scripts. Deactivate this plugin and try again.
There’s also something else as well. If for instance I don’t type any search and simply hit on go button where “Search” text is already in the field, this page comes up https://djsilkworm.com/?s=Search where you have the same problem.
Now on “ocarina” example do you see the printed message in top left corner as well?
// search search-no-results col-2-right fixed browser-chrome”>
Another thing, try looking at the view source on regular pages and go back to problem pages, you will see that the plugin “destroys” every possible link around.