Fight Notario Fraud Act of 2021 This bill prohibits certain types of fraud or misrepresentations related to immigration matters, provides for criminal penalties for such actions, and contains related provisions. Specifically, a person shall be subject to fines, imprisonment, or both, if that person knowingly executes a scheme related to immigration laws to (1) defraud another, or (2) receive anything of value from another based on false pretenses or representations. Such a person shall be subject to additional criminal penalties if that person (1) threatens to report another to federal or state authorities, (2) takes actions or makes attempts to adversely impact another's immigration status, or (3) demands or retains anything of value for services fraudulently performed or not performed. Similarly, a person shall be subject to fines, imprisonment, or both, if the person knowingly and falsely claims to be an attorney or an accredited representative in any matter arising under the immigration laws. (An accredited representative is an individual authorized by the Executive Office of Immigration Review to represent clients in certain immigration matters.) The bill provides for longer terms of imprisonment for a person who causes a cumulative loss of more than $10,000 through actions prohibited under this bill. The Department of Justice shall establish at least 15 Special U.S. Attorney positions to enforce these provisions and take other actions related to enforcement and protecting consumers from fraudulent immigration schemes.