You can view the status of your orders by logging into the admin portal and clicking "Fulfillment Listing" on the left menu. This will show which orders have not been fulfilled, and which have been refunded.
You can view your shipments by clicking "Shipment Status" on the left menu. This shows the shipping status of your orders from "Unknown/Label Only," "Shipment Pending," "In Transit," "Delayed/Exception," "Missing Tracking Number," to "Delivered."