I thought anyone could do the wiring as long it's "signed off" by a competant electrician ? Or is that no longer right ?
When you say 32A sockets do you meen a ring circuit of 13A outlets or 32A BS4343 (Big blue ones!)? If its 13A sockets then thats faily easy to answer you need 2.5mm2 6242Y twin and earth in a ring configuration and you can cover a Max of 100m2 with 35m of cable. If you are looking for the industrial ones then need cable length to answer the question.
6 mm radial to each should be fine or do you only plan to use one at a time?
Your best bet may be to trot along to a local building site an chat to the electricians. That way you may be able to get it done for next to nowt, and signed off.............
the 16A sockets need 16A protection. You carnt spur them into an existing ring as its two big a single load.
lets hope the house don't burn down first! 10mm is probity a bit big tbh unless there is a long run involved