NMW for Directors of Multiple Ltds

My first Ltd company pays me a basic salary via PAYE. I believe I am registered with HMRC as an Employee via my company's PAYE registration and I am also an Office Holder. When I divide my basic salary by the number of hours I actually work, is the equivalent hourly rate supposed to meet NMW requirements? If not, for example because NMW does not apply to sole Directors, even if they are registered as Employed for PAYE, then now consider my second Ltd company: If I am complying with NMW requirements for my first Ltd, and if my second Ltd does not register with HMRC for PAYE and does not pay me any PAYE salary, then would it be OK for my second Ltd to pay me a Dividend from post tax profits? Lastly, in general, if a Sole Director of an Ltd does not have a formal Employment Contract nor a Director's Service Agreement, and therefore is not strictly speaking an Employee in Law ( even though they are registered via PAYE ), then is there any NMW requirement?

Hi Alan Watson,
Please contact the National Minimum Wage Helpline on 03001231100.
Thank you.