But in my experience it is a rare organization whose accounting function is not affected by the requirements in some way. Left to me, I'd err on the side of including accounting and finance, even if they are not directly impacted by the requirements. I believe everyone in the organization should be operating under the same type of documented, audited system. To include most and exclude others tends, in my view, to divide the organization and reduce the extent to which the system ultimately becomes transparent. An ISO 9000 implementor is one who helps companies design and implement ISO 9000 quality systems and prepare them for registration audit.
Qualifications are successful experience and a good track record.
Certainly qualifications can and should be checked, by talking to previous clients. In this business, track record is everything.