Tips for nervous first time flyer
Remember the pilots, in addition to being highly trained professionals, are people with friends and family too. They want to get to the destination as safely and smoothly as you do!
Bring a book and an iPad / laptop if you have one so you can have plenty of entertainment (the flight down to Australia should hopefully have IFE too) which will help keep your mind off of it.
You'll be fine and it'll be well worth the flight to see what is on the other end!