Your company name can also just be the company registration number, it does not matter that much what your company name is. Company names only indicates or points to a date and time when you started using a particular name, you can also register a domain name with the same effect.
Choosing a name for your registered company is not that important as your company name can be anything. Just because you have a registered company name called “Banana” this does not gaurantee you exclusive use of the word “Banana”.
In order for you to create a brand name, which you own, you will need to file a trademark registration. You will also need to actually use the trademark, to market it and to brand your product or service with it. The registrations of trade marks are complex and should be provided to you by a qualified professional.