My experience is in pharmaceutical, biotech, and medical devices, but since no one else has taken a shot at this I figured I'd lend some advice based on what's worked for me.
If IT systems manage anything quality related, they should be covered in your audit program. You got that partially correct in the event that it's not just business continuity but also disaster planning/recovery.
For Finance, it depends on what functions they perform. In most of the companies I have worked for, Procurement is part of Finance. Does finance play a part in approving suppliers? Do business contracts include quality language that should be in quality agreements or are they separate? What about sourcing new suppliers or materials. How do specifications get approved and communicated to purchasing? Who "owns" the ERP system? It's likely also finance, so what quality elements are there in the system and how are they controlled?
Just some suggestions.