Creating your own logo with logotypemaker can be considered as an artistic work, therefore it can be protected by copyright. You automatically own the copyright the moment you create your logo on logotypemaker.com and purchase it. In case you need any proofs of your copyright ownership, you may provide the Invoice used to buy this logo and the Edit History.
Copyright can not protect the name of your business by any means. Protecting your business name can be done only by appling for Trademark.
A trademark is anything that is used, or intended to be used, to identify the goods of one manufacturer from the goods of others. It is a brand name. Trademarks are important business tools because they allow companies to establish their product’s reputation without having to worry that an inferior product will diminish their reputation or profit by deceiving the consumer. Trademarks include words, names, symbols and logos. Anything that distinctly identifies your company can be a trademark, provided that it is for goods.
Trademark ownership comes from actually using the trademark for products in commerce and the public recognizes the company behind that particular combination of colors and shapes. Imagine you see a sign with bitten apple; you probably are picturing a iPhone (also trademarked) or any other Apple product.
Trademarks are registered in each country apart in “Patent and Trademark” offices, due to their laws regarding Trademarks.
Try to create unique logos using cliparts, to ensure the registration of your Trademark.
Here are some examples of websites that provide Trademark Registration:
Or you could address to your local lawer.
Also, you can not own copyright for Free logos.