I'm going from memory here...so others please correct me if I forget something here....
You need to complete Ep3 winning (the Verdun is lost in the book, so saving the crew doesn't really influence the story from the book's point of view)
In Ep4 Winning, you need to damage but not destroy the Hakaga. In the book it retires with 2 carriers as escorts and it does the same in Standoff. Now you come to a crossroads...both Ep5 Winning and Losing follow the book...it all depends whether you want to follow Confed's or the Landreichers' path. To follow Confed, save the Leyte Gulf, for the Landreich, let it die.
In Ep5 Winning, you need to lose the Saratoga, safely escort the Marines in, not shoot down Thrakhath and not damage the Hakaga (IIRC in FA the final one is not attacked by Confed?).
In Ep5 Losing, you need to escort the Tarawa and Guadalcanal to Sol, destroy the bombers however the AM missiles need to reach the Moon (in FA the dry docks and facilities on the Moon are destroyed), in the final mission the AM missiles need to reach Earth while the Strotnium-90 warheads must be stopped.