Sending a picture of your key to Oz won't help with the trunk issue, it will only give you two copies of the key that doesn't work in the trunk. You will need the number from the lock cylinder (ignition lock isn't too hard to get to), and that, along with the title or registration and your identification should allow a dealer to order one.
It is also 'possible' (but maybe highly unlikely) that the BMW dealer can access a master list for the key if you provide the VIN, along with your title or registration and your personal identification. Worth a try????