Afghan Adjustment Act This bill expands eligibility for special immigrant visas to certain Afghan nationals (and accompanying spouse and children) and addresses related issues. The Department of Homeland Security may provide such visas to Afghan nationals who provided qualifying service as a member of the Afghan Air Force or other specified entities and meet eligibility requirements, such as passing a background check. Currently, special immigrant visas for Afghan nationals are generally only available to those who were employed by or on behalf of the U.S. government in Afghanistan. Such visas shall also be available to an Afghan national who is a qualifying relative of a veteran or member of the U.S. Armed Forces. The bill also modifies procedures for providing lawful permanent resident status to certain classes of Afghan nationals, such as by (1) providing a streamlined process with specified vetting requirements for certain individuals, including those who provided support to the U.S. government in Afghanistan; and (2) preserving the eligibility of certain battered spouses whose eligibility for such status stemmed from a marriage that has terminated. Furthermore, the Department of State (1) must respond to inquiries from Members of Congress about specific applications from Afghan nationals seeking special immigrant or refugee status; and (2) establish an office in Afghanistan to perform certain tasks, such as issuing visas, if no U.S. embassies are operational in Afghanistan. The President must establish a task force to develop and implement a strategy to assist Afghan nationals who qualify for admission to the United States.