Rob for 12. If you field Royal Sovereign she can repair 1 box automatic (like you could in the rule book), she then has 11 hull boxes, round down for 50%, so everything above 5 is +50% damage. After the auto repair she has 3 hull boxes with damage. She can repair half rounded down, so she can repair 1 more hull damage box.

Royal Sovereign will carry forward 7 Hull damage and 5 crew loss into mission 12. (Crew can be replaced from any of your frigates though).

Neil