I am now able to switch to IE's "compatability view." That actually pushes the search stuff back up in to the Pink header bar, mostly. Your mod or whatever it is still isn't perfect and makes things too crowded there. One can never know what view their IE customers will be in, but my theory is that most will not be in compatability view.

Split Login: go to admin/configuration/layout settings. Second from bottom. If it's set to "true" try "false" and see if things look better.

Yes, mods can mess things up if one isn't careful. In your case, it looks like you have a "search" mod in the pink search area without enough room for everything.

Also, if you're using IE, try seeing the site in compatability view or no compatability view. Should be under Tools on browser menu bar.