Site database and stock not updated after successful order
I have built a site for my client at https://www.get-leathereduk.com.
When an order is received, the checkout process is completed, including the PayPal checkout. Both the customer and my client receive a confirmation order from Paypal (good job, because that's the only way we know there's been an order), but the site, stock, order details etc aren't written to the database, nor are any confirmation emails sent. I've attached some screenshots, which should hopefully make things clearer. Could somebody help me to fathom out what's going on please?