Let me apologize first of all for my frankness. I've been working 24/7 to get this presentation ready and it's coming down to the wire. I greatly appreciate your help.
As far as I know, I have not subverted the payment process in the checkout procedure. Because the client desired not to display a payment method of any type, I hid the payment methods box with CSS and ensured that something acceptable was hidden but default selected.
The true culprit was that during a previous meeting the client wanted to change the order status types. We removed the default one and added a few. That was the problem. Removing the default caused a critical part of the query you mentioned above to fail.
I found an instance of the order history query in includes/modules/pages/account_history/header_php.php.
if ($orders_total > 0) {
$history_query_raw = "SELECT o.orders_id, o.date_purchased, o.delivery_name,
o.billing_name, ot.text as order_total, s.orders_status_name
FROM " . TABLE_ORDERS . " o, " . TABLE_ORDERS_TOTAL . " ot, " . TABLE_ORDERS_STATUS . " s
WHERE o.customers_id = :customersID
AND o.orders_id = ot.orders_id
AND ot.class = 'ot_total'
AND o.orders_status = s.orders_status_id
AND s.language_id = :languagesID
ORDER BY orders_id DESC";
It was the (o.orders_status = s.orders_status_id) conditional that caused it to return an empty set from my database. It turns out the order status on the orders was set to a default value of "2", but there was no corresponding status defined in the orders_status table.
Simply defining an order status for ID 2 brought everything back online. The order history for client side accounts as well as the listing of orders and order administration are now all fully functional again.
I suppose this means it might be good to have a check / warning system for this potential problem display in the admin under Localization / Order Status.
Once again, thanks for all your help. I truly appreciate it. I hope that if someone else runs into this problem, the information posted here will help shed some light on the matter.