As always if you want to know the details beyond what has already been stated here check out http://www.halopedia.org
Some useful links(Its a lot...but you've missed a lot):
[http://www.halopedia.org/Human-Covenant_War](Human-Covenant War)
[http://www.halopedia.org/Battle_of_Installation_00](Battle of Installation 00)
[http://www.halopedia.org/Raid_on_Installation_04B](Battle of Installation 04B)
[http://www.halopedia.org/Post-Covenant_War_conflicts](Post-Covenant War Conflicts]
[http://www.halopedia.org/Jul_%27Mdama%27s_Covenant](Jul 'Mdama's Covenant)
[http://www.halopedia.org/Battle_of_Requiem](Battle of Requiem)
[http://www.halopedia.org/New_Phoenix_Incident](New Phoenix Incident)
[http://www.halopedia.org/Skirmish_on_Installation_03](Skirmish on Installation 03)
[http://www.halopedia.org/Requiem_Campaign](Requiem Campaign)
[http://www.halopedia.org/Battle_of_Kamchatka](Battle of Kamchatka)
[http://www.halopedia.org/Raid_on_Argent_Moon](Raid on Argent Moon)
[http://www.halopedia.org/Battle_of_Meridian_(2558)](Battle of Meridian 2558)
[http://www.halopedia.org/Battle_of_Sunaion](Battle of Sunaion)
[http://www.halopedia.org/Battle_of_Genesis](Battle of Genesis)