The search box drop-down will go away in your shop (tested with Firefox 3.6 and IE 8), but it takes 6 seconds. This is also at my installation.
I think you can set the time in the dropdown.js
It must be this
Content visible to verified customers only.
I which browser do you have the declaration errors? In IE I see no errors on your site. In Firefox I have some declaration warnings
, but this should not take effect. Not all broswers understand the same style declarations.
You are sure, you have an error with the move/delete option? Remember that a little checkbox will appear under the decription of the item.