All but one account have now been reinstated.
With regards the last account still cancelled, this is the email response that I received.
For more information about your cancelled account, please contact with our 7/24 open Call Center 00 90 212 444 0 THY(849). Thank you for choosing Turkish Airlines on your flights.
Yours Sincerely,
The call center says to email, the email says to call. Typical.