Hi,
this looks like a Joomla routing issue, after search is clicked you get redirected to url that contains option=com_cck&view=list etc, this should not be visible, and base url (before parameters) is index.php/component/cck/ and all this breaks links to the images and other assets.
What type is your home menu? Is search on home shown in module or is home menu linked to search type? My guess is that you need to add menu pointing to your search type, it does not need to be visible on a page, but it needs to exist as joomal gets its its url path from the menus.