PARTIALLY APPROVED. The Starbomber is approved as your fifth overall mission. However, the Corvette requires two mission packs. The Quicksand Rescue isn't a mission pack, it was a plot to rescue Commander Varo. While that improves faction assets (hence you got the rewards for those missions) it doesn't equate to running a mission pack which is what you did for the Common Enemy. (Mission packs are approved faction plots that have sign ups, etc...) So unfortunately, you only have one mission pack completed as of yet.