Way above my pay grade concerning this decision but you should absolutely be part of the decision making process. If I may ask, in Australia do they cover rehabilitation treatment afterwards and what about home care? You’ll still have limitations on some of your abilities post rehab.
Regarding the laminoplasty as Dr. Su stated not many doctors perform the procedure and living with a government subsidized health plan it might be harder. I googled laminoplasty in Australia and found a couple hits and I don’t think you’ll have any difficulty locating someone. You should look up Globusmedical.com for an in-depth view of the procedure.