Do I need to register my business name and logo separately?

Unless you plan on using your logo’s as it is in all your uses and for the indefinite future, you should register the logo and words separately. A name and logo together are called a design plus word trademark (combined). Trademarks filed as design + word must use that exact combination in relation to all its goods/services. It’s customary that you file your name and logo separately that way you can use the word phrase in any style you choose without losing your rights. If you have a tight budget start with a combination, but as soon as you have more budget, protect each part separately. For example, McDonald’s owns a trademark on the name “McDonald’s” as well as the logo of the golden arches. This way it can use them in any combination.