Inc. 指的是incoporation, co-operation 的公司才能用。这两个名字都是股份制公司才用的。Sole Properitorship or Partnership should use LLC. = Limited Liability Coperator.
To Sole Properitorship, you can use your own name as the company's name. For example, Wonton Soup & Assistants.
There are many books about small business in library. Some of them are really worth to read.