Caregivers Access and Responsible Expansion for All Veterans Act or the CARE for All Veterans Act This bill expands eligibility for the family caregiver program of the Department of Veterans Affairs to include members of the Armed Forces or veterans who are seriously injured or who became ill (or who aggravated such injury or illness) on active duty before September 11, 2001 (currently, limited to service after September 11, 2001). The bill establishes three monthly caregiver stipend starting dates for pre-September 11, 2001, members of the Armed Forces or veterans based upon the amount and degree of personal care services provided. Program eligibility criteria shall include a veteran's need for regular or extensive instruction or supervision in completing two or more instrumental activities of daily living.