Processing the order is currently manual. You're back in the call center era. For the back and forth, you'd probably be better off using voice. As in, the customer calls the service on the phone.
The big advantage of web ordering is that the user gets to browse the catalog and select. They can find out if it's in stock before they order. The order gets captured correctly and automatically. There's one central service for buying, and it's called Amazon.com.