The bad news is that if the articles are standard the appointment is invalid, there is no other director to co-opt them nor has an ordinary resolution been arranged by the CoSec either by way of a meeting or written resolution.
If everyone is worried the they should jolly well stop !"£%£""g bleating and hold an EGM, appoint directors and get
1: insurance renewed
2: terminate the agent's appointment for cause ( be careful the contract may have a warning clause)
There is no point their being worried about it .. Act on it !!
No the Co Sec need not be there.
I suspect they are owned fees and have washed their hands of it.
In the meantime
1: call the insurers and ask for a copy of the renewal invoice, and arrange each of you to draw a cheque to AN other broker and pay it direct, or
2: As an RTM arrange quotes and place new insurance policy elsewhere.
Based on the information posted, I offer my thoughts.Any action you then take is your liability. While commending individual effort, there is no substitute for a thorough review of documents and facts by paid for professional advisers.