I don't think that these are Featured or Specials, at least that wasn't my intention.
On the WebShop they ( products ) seems to appear in the order they were created. So, perhaps, I should try to recreate them in the desirable order. Catalog->Products allows every product to be "saved". If I will save the product and delete it, would it be possible to paste back the saved copy of it? If yes - how do I do that?