Is it a good idea for a 14 year old to move to Australia with her father?

This is a tricky question, as you are already set up in your native country and have learnt the ways/laws and education of that country. If you move to Australia, you are leaving your friends behind, you'll have to relearn the ways/laws of Australia and how they do things.

On the plus side, you will be with your father. Also, you will make new friends and maybe have lots of adventures. You can keep in touch with your old friends by e-mail and phone (but be sure to check the international rates before you call!).