Registering a .com.au web address (domain name)
1. Check business name is available https://help.register.business.gov.au/
2. Check no trademarks registered https://search.ipaustralia.gov.au/tra...
3. Check your business name web address is available https://crazydomains.com
If you’re all clear, go back and register the business and get an ABN, Trademark the business name, register the web address domain name.
You are going to need an ABN to register a com.au domain name
Registering a business name doesn't mean you own it. It just publicly indicates that the business name is in use.
To prevent someone taking your name you need to register a trademark for you business name. This costs about $660 for 2 classes using HeadStart services. Your trademark lasts 10 years.
If someone is using your business name and you have trademarked it, then this would be considered an infringement.