Another good question is the availability of internet at lord howe/norfolk/and in NZ to submit flight plans and constantly monitor weather?
You'll have no issues with internet in NZ. For Lord Howe and Norfolk just go the the Met office at both places. The Met office at Norfolk is up the driveway beside the airfield and at Lord Howe just a short walk across the grass from the tarmac.
The met guys are very very helpful.
You can file the plan at Norfolk with the help of the guys at the airport, the Met guys at Lord Howe will probably let you use their computer to file from Lord Howe.