"There's this girl in my class which I like. How do I (win her heart)?"
I have had a fair amount of success in this field. Whenever I see a girl my heart leaps because I know I have at least one kill waiting for me. The kill hangs from the branch, and there is a knack to plucking it. If you follow my advice you will be an effective plucker.
The important thing is to have an energy advantage, but not so much that it wipes out your ability to manoeuvre. Approach to a distance of about 1.5k, and make sure she is beneath you and off to the side. When you get level with her, go into a gentle, looping dive, timed so that you flash past at maximum speed. You might lose sight of her during the dive, depending on your aircraft. Then corkscrew back up into her. It she catches fire, that is excellent; back off and get into position, and periodically check for incoming escorts.
Bear in mind that a lot of the advice you get on this board is akin to the "post-creative rationalisation" that goes on in the art world, by which I mean that people generate their rationale after the outcome of their attack, fitting the rationale to that outcome. Remember also that the lady might be a complete novice, and that the hits she lands on you could be just lucky.
Also, do not dogfight her; the odds are that she has been playing this game, and its predecessors, for almost a decade. No matter how skilled you are at the art of love, the majority of her suitors will be more skilled than you. Therefore, compensate for this with superior tactics, patience, guile, and superior technology. I too am lax in the physique department, but ladies fall for me because I follow the example of those monkeys that infiltrate the lion's den and make off with freshly-killed caribou; you can't fight the lion, but you *can* outsmart the lion.
I want you to outsmart the lion, Mr Bozon. Once you have mastered that, all girls are yours.