Statement – I: Must every magnetic configuration have a north pole and a south pole 
Statement – II: If the magnetic moment of a configuration is zero, configuration may not have north pole and south pole.

This is not necessary that every magnetic field configuration have a north pole and a south pole. In a toroid and an infinitely long conductor taking current net magnetic moment is zero and therefore there is no pole formation.

When magnetic moment is zero, there will be no north pole and south pole.