Ooh, it's really good so far. I love stories like this. I bet the girl was someone who loved him, but he didn't love her, and now she's all jealous and stuff. You did ask for us to point out spelling and grammar mistakes, so you should know that in Chapter Two, in the third paragraph, you typed 'your' when it should be 'you're.' Other than that I didn't notice any mistakes. Nice job, Alice!
