Nike doesn't grant permission to use or modify trademarks, logos, images, advertising or similar materials.
It's your responsibility to determine whether your proposed use is legally permissible. For example, some uses of Nike logos in a textbook may be considered “fair use.”
Nike is unable to respond to requests for permission and does not fulfill interview requests. NIKE, Inc. (capitalized) is the correct use of Nike when referring to the company. Nike (sentence case) is the correct use when referring to Nike as a brand.
Affiliate brands should be referenced as follows: Converse Inc and Hurley International LLC.