No, but thanks for asking a weird question. You’re likely getting confused with some industries, like talent management, that may require you to obtain a license from a particular state agency. The formation of the entity doesn’t trigger automatic licensure, nor does it automatically require you to get a license for your business. Licensure for your business is separate and apart from forming an entity. And, in some instances, if you are required to obtain a license, that may dictate the kind of entity your form.
S = “Small”, and, yes, that’s per the Internal Revenue Code.