The 3 most important things to understand about business names:
1) Incorporation does not protect your corporation name or necessarly allow you to use it
2) Registering your business name does not protect it or even allow you to use it
3) Registering a trademark is the best way to protect your name.
If you understand these, you are good to go. If you’re not sure, spend some time being sure. It will take about 5 minutes, but it’s well worth it. Click the links above for more information.