It looks like there is a circuit breaker 'CB1' on the input. Can you verify the rating of this, and if you can change it (e.g. by replacing with a lower current breaker)?
If you do go for a new plug, you can get a standard plug in 15A; none of this industrial stuff which often doesn't fit sockets. E.g. a PDL Cat 901/15.
Connecting an appliance to an insufficiently large plug is unsafe. Unlike the US where a socket will be protected by a breaker no larger than the rating of the socket (except 15A sockets may be on a 20A breaker), in NZ the circuit protection is *not* sized to protect the socket, appliance, or flex. In some circumstances, a 10 or 15A socket can be on as large as a 25 or 32A MCB. We consider overcurrent protection the responsibility of the appliance.