Which statement is true regarding the BCMRs' authority?

The statement regarding BCMRs' authority is accurate because BCMRs, or Board for Correction of Military Records, have the authority to review and recommend changes to various military records, including decisions related to discharges and retirements. If a service member has served honorably and meets the criteria, BCMRs can grant full longevity retirement, considering several factors, such as service length and character of service. This reflects a broader mandate than just rectifying record discrepancies; it allows them to recommend significant benefits based on service evaluation.

In contrast, other options incorrectly limit the authority of BCMRs. Grants of dishonorable discharges are not within their purview; rather, they focus on correcting or reviewing previous decisions. Similarly, BCMRs are not limited to just changes in awards and decorations and can consider other aspects of military records. Furthermore, the claim that BCMRs cannot modify any personnel decisions misunderstands their role, as they indeed have the power to rectify various records, including those affecting retirement statuses.