You will need a letter from Eagle saying that you needed 2 pilot ops to count the multi crew time.
Im also from NZ, but decided to come over before doing the whole eagle/air nelson thing. Flying turboprop now here and will do that for a couple of years before moving to the bigger things. As everyone else had to get the whole cpl/ir converted, pain in the bum...think you will need to do the same unless you can get around it by your TT, just make sure you read the fine print. I got caught out as my IR expired before I went to do the IR conversion, thats not allowed so I had to fly back to NZ, get it current then come back here to do the 15hr conversion.....
Not sure if you are aware, but im pretty sure if you dont have 500hrs on type a 73 rating from aussie or NZ would count for nothing as it aint JAA. Out of interest would you be getting the 500hrs on 737 in pacific blue or somewhere like that?
I imagine if you had had 500hrs on 737 you would have a chance with BA, just a guess tho. Deff would with easy and the load of charter operators.
Good luck with whatever you decide