Is Codeigniter good for my website?

http://www.codeigniter.com/userguide3/ge...lcome.html

None of what you describe, is built-in in CodeIgniter. But CI is a great framework to build on.
The MVC approach  (Model - View - Controller) enables you to separate your application's logic form what is displayed in your browser. The greater part of the logic itself, however, must come from you as a developer.