What is the primary department responsible for fault, no fault, and incompatibility transfers?

The primary department responsible for fault, no fault, and incompatibility transfers is indeed PERS 4010. This department operates within the Naval Personnel Command and is specifically tasked with managing personnel actions concerning transfers. This encompasses the intricate details of categorizing transfers based on the reasons such as fault, no fault, and incompatibility.

PERS 4010 ensures that service members are appropriately directed through the transfer process, adhering to the regulations and policies that govern personnel management within the Navy. Their role is crucial because transferring service members effectively minimizes disruptions in service and maintains operational readiness by ensuring that personnel needs are met where required.

The other options may have roles related to personnel management, but they do not have the specific designation or responsibilities associated with handling transfers related to fault and incompatibility that are managed by PERS 4010.