@Jackandro,
Two things. First, do not go to her house with a gift. Besides being a pathetic attempt to bribe her into talking to you, she will likely be put off by the idea that you believe you need to give her something in order to talk to her.
Secondly, if you really want to see where you stand with her, just ask her out for a soda or a milkshake or some such thing at the local fast food joint. The two of you have known each other for a number of years, so asking her to hang out in this manner should not be a big deal. Then you can talk to her about whatever is on your mind. If she does not want to go out with you, then you will at least know you gave it a shot and she is not interested.
As an aside, while you may feel you were annoying and sounding like a kid when chatting (you are both still kids, in my opinion) that may have nothing to do with her becoming distant toward you. You are both in high school. Other things may have demanded her attention. Maybe she just decided she was not interested in you. Maybe she became more interested in someone else. It happens. So I am not sure it would be a good idea to talk about or apologize for possibly being annoying at one time. Talk about school, about interests you both have. She will see by this that you are not the same person as before.
One other annoying thing (at least it is for me) is your spelling "quiet" when you mean to write "quite." As a high school student, you should have progressed far enough along in your education to know this. Not a big deal really, and I am just picking on you a little bit. But between the lack of punctuation and misspelling of words, maybe that is why she got annoyed and decided she wanted someone who could write properly. (Okay, don't get mad. I'm really just joking about that last part. I doubt that had anything to do with her thinking you were annoying, if she ever thought that in the first place.)