Before start speaking about points, an explanation about indexes affecting points should be done. After that, you may also check the task explanation page in order to understand why some tasks has no points for some ground or air kills.
Experience index is a way to show how good is your actual virtual pilot. When you start a new virtual pilot carreer (first mission, or first mission after kia/mia) you pilot experience is set to 1 (or 100%). Then, while you keep this pilot alive, experience grows. It will never decrease. In table below you can see what actions or events makes changes on your pilot experience. Once pilot dies, experience turns back to 1 (or 100%).

This index will affect the points won in mission. For example, if your pilot experience after 8 sorties alive is 1.23 (123%), the mission points are increased by 23%. The bad news are that at same time your experience grows, the prize for your head increase too. This is because on every airkill, the points won are affected by the killed pilot expereince.
Lets say you fly a mission, and you will get 10 points for each fighter. If you kill an AI_Veteran (experience 0.8 or 80%) you will get only 8 points. And if you kill an expert human, suppose a pilot with experience valued 1.68 (or 168%), you will get 17 points.
This index makes 2 things. One is to foment you keep alive your virtual pilot, this way you win more points. Other things is to set the amount points for an airkill. We all know is not the same to kill a bot or a human. So, we have dynamic scores per kill, based on pilot experience.
When you rescue a pilot, you experience grow by 0.1 (10%), because you learn from the pilot you just saved.
Fairplay index works like the experience one, but with some differences. One is that Fairplay index max value is 100%. This represents how much you follow recommendations. In Bellum is not against rules to use smoke or kill chutes. But, as most people dislike this things, every time an action "not recommended" is detected, the fairplay will decrease.
Below table shows how much some actions decrease the fairplay index. The total points of mission is affected by this index.

So, this index is like an automatic punishment. It recovers in steps of 5% if you fly without breaking recommendations. If you want to get all points from missions, you better keep this index at 100%. This is also required to get medals. If you reach the point to get a medal and your fairplay is not 100%, medal is delayed till you get 100% fairplay.
When you rescue a pilot, you fairplay is set to 100%, as a bonus.
Next table show the amount of points for each kill depending your mission task.

Next table show the amount of points based on your task. Each task has a different condition, so in Bellum can have in same side different results. If you are escorting a group of bombers, and all them come back alive, you get max points because that. At same time, bombers need to hit the target to get more mission points.

Finaly, this are some other pointed events:
