Your Facebook group may be banned if you violate Facebook's rules. Posting affiliate links in a way that is inappropriate for the group's content, or that is considered spam, may result in the group being banned or restricted. Facebook has rules about sharing external links, especially commercial links. Affiliate links must comply with these rules. Your Amazon affiliate account may also be banned if you violate the terms of the affiliate program. Posting links in an unnatural way, trying to generate fake traffic, or violating the rules about promoting products may result in the account being banned.