Chi
You can mention the recording for an MR and could send a transcript, at least of the relevant section but don't bother with a copy of the recording, DMs do not review these even when they are made within their terms of reference.
The assessor should have given you their qualifications but this is not a legal requirement.
A week is not an unreasonable time for the report to take to get to you, if it has not arrived in Monday's post then I would ring again.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems