Hi,
If you look at the links in your new module, you can see such URLs:
www.miniaturemohairbears.co.uk/component...-for-sale?Itemid=102
basically, the Itemid=102 is added to the URL.
This means that you selected the menu item with the id 102 in the "menu" option of your module but that this menu item is not of the type "HikaShop categories listing". Otherwise, if it was, that parameter wouldn't appear, and instead of component/hikashop you would see the alias of the menu item you selected and the links would work.
So I would recommend to check that the menu item you selected is a HikaShop categories listing, and that it is enabled, has a public access, etc.