Sexual Trauma Ongoing Protections Act of 2019 or the STOP Act of 2019 This bill modifies and establishes requirements relating to sexual assault policies, procedures, and reporting in the Armed Forces, including by requiring timely consideration of academy transfer requests from victims of sexual assault, requiring timely disposition of sex-related offenses that are not brought to trial due to insufficient evidence, and providing an option for victims to file restricted reports of sexual assault regardless of third-party disclosures.