For the artwork control procedure, I would focus on the last 3 of the above list.
The rest probably come under print control and risk analysis.
The artwork control procedure is designed to ensure that the correct design has been received from the customer and incorporated into your systems. That plates etc have been correctly made and that the customer has approved the print in some way. It is in your own interest anyway to get customer approval to avoid costly future arguments.
Important points to include are evidence of receipt and clear evidence of control of any changes. It is vital that only the final approved design is made available to the printers.
Methods for this vary from company to company depending upon what type of graphic software is available. In some cases I have seen this simply by an email trail.
The clause also requires that you assess the need for a trial to be carried out. This is quite vague and uses 'where appropriate' In most cases with regular customers, you probably won't need to have a trial, but if you are using new inks or substrates you probably will. Consider also how the customer will use your print - eg if it is a self adhesive label the type of adhesive needed may vary if it is a chilled product.
Whoever in your company that deals directly with the customers on design issues should be aware of these procedures and should ideally have a input into writing the procedure. Easier said than done with "sales" people I realise. In some smaller print companies I have used a simple checklist to ensure that they ask the right practical questions rather than purely commercial discussions.