Hi, I was wondering if my odds are good for getting into Columbia within the following years. I am a Cuban-American-Scandinavian child. My father was born in Ohio and my mother in Cuba my mother came from Cuba at a young age and my fathers decedents from Scandinavia. My father was abusive and left my mother when i was a small boy. I currently am a child of a single mother who is disabled, taking care of my niece who lives under the same household because my sister need her life put together, and am now realizing that i wan tot really strive for success. I am 14 and started highschool as a freshmen a few months ago, i neglected school work for two quarters and ended with a first semester average of around 2.0 or so. I am now looking to get at least a 4.0 this quarter and a minimum or 3.7 this semester. As an overall, I take 1 AP class and 2 honors classes, Chinese, IT, and engineering, also is there any summer courses i could take or things that could improve my profile and I was wondering if I step up my game that if my situation and diversity + the multitude of things that i have experienced throughout my life would give me a strong background to admission reviewers at Columbia university. I really have a strong connection with this school and hope to find scholarships and and grants to allow me to achieve what none of my siblings (brother+sister) were able to do and make my mother proud and make my life successful. Please respond as soon as any of you can, please no negative comments and only advice and constructive criticism and anything that could help me out. Thanks! 
You are a freshman, so work hard but stay relaxed. If you have a sudden upshot in GPA, that will look good.
How are you taking an AP class as a Freshman? To get to Columbia you must take the most rigorous courses your school offers and do well.
You should take the hardest classes your school offers and aim for a 3.9+ UW. Don’t spend your summer doing programs. Use that time to get some solid ECs.
Very interesting background. You may use this experience for your future admission essay as I see you’ve learned maturity from your difficult situation. Remember not to focus on the unfortunate circumstances but rather how you perceived it and how it helped you grow into the ambitious person you seem to be now. :)) Hint it with things that make you YOU, such as a talented sense of humor or ability for describing details that unfold your story. Remember, your story might not be as unique as it seems but you may make it stand out by the way you write about it.
Do not forget to keep up the spirit you have and for that, I advise you not to worry too much about getting into Columbia just now. Instead, focus on improving your abilities, supporting your family, and learning new skills that will help you not only get into Columbia but actually succeed wherever you end up.
I think your low GPA will spark curiosity in the admission officers and that is not necessarily a bad thing. If you keep up an excellent GPA (about 3.6-4.0) each academic year and show through your programs how you challenged yourself, topped with your admission essay that you may wisely use to explain your low GPA, I believe then, 2.0 will count no more than any other number would.
Use this life to live and grow for yourself, not to appeal for Columbia. For the sake of your own joy and learning, find things that interest you and lead a life that empowers you to grow instead of making you feel pressured beyond boundaries. At the end, they choose you, not you them, so might as well learn for yourself.
As for your mother, I believe that she will be proud if she sees you excel in the future. Getting into an Ivy school is not as much of a challenge than trying to live up to the potentials you can become! Do those AP classes really interest as well as challenge you? Are you happy to be a part of it? Or all you think about is “it will look great on my application”? Because then, drop the AP and go find programs that interest and challenge you and those will have just as much importance as an AP class would. Make your high school years productive not by doing what you think Columbia likes to see but rather do what makes you stand out anywhere you are.
Worrying about Columbia can wait. For now, grow, learn, and experience. A well-spent in-between of childhood and adulthood bores the brightest candidates for live, as I’ve observed. :)))