preteen bad behavior

my 11yr old has started failing in school, before she was an a/b student. She is very hateful to entire family most of the time. She ran away last saturday and when it got dark went to her friends house, called the police and told them she was physically abused, which is not the case, in fact I probably dont discipline her enough. She was very spoiled as she is the baby of 3 having 2 older brothers. She has had the best of everything and yet is mean and ungrateful. She ran away because she was grounded due to her grades. I am at the end of my rope. SHe is also on trazadone because without it she cant and wont sleep. Please help me.

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