I'm in HS as well (senior) and I agree with what shawarma has said so far. All of my game is extremely influenced by the Power of Now by Eckhart Tolle. There's too much in there for it to give you immediate results, but if you want to change your life, I recommend you read and practice it. Anyway, here are my thoughts.
For general out of school dates, I love parks. I've gotten really good at frisbee, so having that DHV makes for good dates. If you are going to take her out on a DHV date, doing something you enjoy, pay close attention to her. If she's having fun, have fun with her. If she's looking bored, frustrated by the game, or less interested in you, like you're showing off, switch it up.
This applies to all game, always. PAY ATTENTION TO HER. If you notice something, you have that thought, don't analyze it. Focus more on her and the other people around you than any thought you might have. Too much thinking kills your sociability.
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I do but only for a couple of seconds, and she flees again after two kisses extremely close to what I wanted.
So you have kissed her? I'm a little confused on this point.
When she plays this hot-cold game, you need to do it back, but at a higher frequency. What I mean by this is, where she might be all over you for an hour, then the next hour she is sarcastic and distant, you should push-pull much more frequently. Talk to her for ten minutes, then touch and flirt with her friend before returning to her.
If you do this, she will probably have jealous feelings and blame you for them. Accept this blame without retaliation. Reframe it without defensiveness. It's hard to explain quite how this mentality works, but nothing she says thats meant to hurt you, in any way, should be taken seriously.
But yeah, give her some space, but do this without thinking about her. Anytime you notice yourself thinking about her, refocus yourself in the present moment. The more you think about her when she's not around, the more thoughts you have created that make sense in your mind, but not necessarily in a real situation. You will be tempted to say some of those thoughts when you see her and those will generally be your worst parts in a conversation.
Message me if you need specific answers, I'll probably check this thread again though.