You will find a person in the space lounge or on the missions page depending on wether you are in GoF1 or GoF2 who will ask you to hunt down a person. The revenge mission are personal and will not affect your standing. Wanted missions will affect your standing. The people you are after will have an escort wing depending on the game and the person themselves have enhanced armor which takes a much longer time to penetrate than normal ships. Their weapons are also more powerful and will deal more damage must faster.