SharePoint Foundation Search not working

My SharePoint Foundation Search was not working. When I was searching for an Item in a list I was just getting this message "We did not find any results for host."

I started the SharePoint Foundation Search Service on the server.
I added the Managed Account.
And I started the SharePoint Foundation Search Refresh.

But I allways got the same message.

Then I looked  in the Event Viewer and I found following "SharePoint Foundation Search" Warning (Event ID: 14):

The start address sts4://win-u71mv1i4epi/contentdbid={521dee71-a532-4935-b906-5e9ed5f49d33} cannot be crawled.

Context: Application 'Search_index_file_on_the_search_server', Catalog 'Search'

Details:  The object was not found.   (0x80041201)

I found this Forum Entry: Search Problem with SharePoint Foundation on SBS 08
And there I found the source of my Problem: It was the alternate access mapping

here what I got in the central administration.

and here what I had in the IIS Manager

So I needed to add on binding and my problem was resolved. Here what it should look like: