Final answer:
The highest level of administrative review for correcting military records is the Board for Correction of Military Records (BCMR) for each respective service branch. They review and correct errors or injustices in military records, including promotions and casualties.
Step-by-step explanation:
The highest level of administrative review for correcting military records is provided by the Board for Correction of Military Records (BCMR) for each respective service branch. This board reviews cases and determines whether a correction to military records is warranted. For example, the Army Board for Correction of Military Records (ABCMR) has the authority to address errors or remove injustices from Army records, including record of promotions, reductions, transfers, casualties, etc., that occurred during active service. It is important to cite the authority in each case, as indicated by the possible form number '29517' referenced in military documentation for such corrections. The BCMR acts as the court of last resort within the military's administrative framework and works independently of the service's Courts of Criminal Appeals (CCA), which manage criminal cases.