I can only address the SQF Quality Shield logo...
Assuming you are the producer of what is inside the box, as in food the answer would be yes (as long as the food is within your SQF Scope) and you would obtain the artwork from your CB.
If on the other hand you are producing packaging only, you could still place the logo on the packaging... however it could only be placed with a clear explanation in wording on the packaging that it the packaging producer is SQF Quality and not the food content of the packaging - it needs to be extemely clear on the packaging who has the certification, otherwise you would set up the food company for an action by SQFI.
You can of course have the SQF Shield on your website.
All the Best,
All Rights Reserved,
Without Prejudice,
Glenn Oster.
Glenn Oster Consulting, LLC
Consultants for SQF, ISO-certified payment systems, Non-GMO, BRC, IFS, Lodging, F&B
http://www.GlennOster.com -- 774.563.6161