Flight and Duty times?
Hello 60N, It would be interesting to know to which Flight and Duty Time scheme you operate, assuming that you have one. Two pilots, long haul operations and undertaking the duties of the Operations Manager seems a bit of a stretch, bearing in mind that office hours are duty hours - particularly worth noting before a flight.
Is your Company audited by any external organisation - IS-BAO (International Standard for Business Aircraft Operations), for example?
Good luck, whatever your decision.