The more planes you save during the mission the more chances you have to land on the ship when the secondary objective arises. We will be using FailedSeppuku's pictures again to bend the rules in order to make this easier:
Thanks to FailedSeppuku for the pictures.
When the second objective arises and you are tasked with landing on the carrier drop the engine's power to 80% at a mile and a half away. As you get closer begin to drop it more and more and by the time you are ~750m out bring it down to 30%. Deploy the airbreaks shortly before landing. The ideal speed to land at is 80mph.
If you don't think you will land successfully speed up and take off for another pass.