No – there's no need to have all your bank accounts in the same name.  You may wish to have accounts in your name alone, some with your spouse or partner, and others as joint accounts with your children.  However, you should always use your formal name when opening a bank account, which is the one that appears on your passport or birth certificate, and not nicknames or shortened forms of your name.  A married woman is permitted to use her maiden name in addition to her married name to open a bank account in Australia.