This is very strange. I'm hoping someone has run into this before. When you view my test site normally, the layout is broken and the slider does not work. This was from the developer of the theme (I've edited the urls so that they won't be crawled the SE's):
[developer] Seems like you have some JavaScript/CSS serverside caching or what. Because content of (http://test[dot]responderpse.com/skin/frontend/base/default/tm/easyslide/js/easyslide.js) is absolutely different from file on FTP skin/frontend/base/default/tm/easyslide/js/easyslide.js
So if you view the site securely (https://test(dot)responderpse.com) the layout works correctly. I'm having a hard time figuring out what could be causing this. There is no server side cache and magento cache is disabled.
[webhost] So I do see you have everything turned off currently, and I am seeing the code on http when I visit your link. But I on a whim tried hitting https://test.responderpse.com/skin/frontend/base/default/tm/easyslide/js/easyslide.js and that looks like the actual easyslide.js correct? So I am not sure if it a cache issue or if its calling different based off the http call. I would make your developer aware of this, as there isn't anything actively caching the site currently. Let us know if you have any other questions.
Any help will be greatly appreciated. Thanks