First of all, I'm terribly sorry to hear about the many obstacles you've had to face. I'm glad to hear you were able to turn it all around and succeed; you should be very proud.
In regards to your question: medical schools will certainly listen to your story, but only if you have the minimum cutoff first. To have a solid chance, you need to have at least a 3.4 cumulative and a 30 MCAT.