Affiliate payments (unpaid amount).

Yes. In the Affiliate tab of the configuration, you have the option "Valid order status" in order to configure that.

If you want to change the name of the column, like any text in HikaShop, you can override it:
www.hikashop.com/en/download/languages.html#modify

The affiliate information of the partner of each order is not loaded on that page so you can't display his total.
You would first need to load that data from MySQL but that's really not easy to do as there are several queries to use for that, like we did in the listing function of the file administrator/components/com_hikashop/views/user/view.html.php for the partners listing page.

You can do that:
echo $row->user_unpaid_amount;

However, that information is only updated on the partner's listing (and on the front end when the user access his partner account). So it's quite useless on the orders listing by itself. That's why I said that you would first need to load that data from MySQL but that's really not easy to do as there are several queries to use for that, like we did in the listing function of the file administrator/components/com_hikashop/views/user/view.html.php for the partners listing page.

That display is already done :
echo $this->currencyHelper->format($row->user_unpaid_amount,$row->user_currency_id);

If that doesn't work:
make sure that you're using the latest version of HikaShop as we fixed that in a recent release.
if you have the latest version, activate the debug mode in the joomla configuration and try again to display that listing. Do you get an error message ?