Status profiles in SAP QM (defined in SPRO > QM > Quality Notifications > Status Management) control the lifecycle of notification elements:

Header (B): The notification header (e.g., transaction QM01) can have a status profile assigned to manage overall statuses (e.g., 'Open,' 'Completed').

Tasks (D): Tasks within the notification (e.g., 'Investigate') can have their own status profile to track individual task progress (e.g., 'Released,' 'Completed').

Activities (A): Activities log events but don't support status profiles directly.

Items (C): Items (defect details) use catalog types, not status profiles.

Thus, 'Header' and 'Tasks' are the correct answers.