I say this because it looks like either
SID (sensory integration disorder) from her earlier behaviors or ADD from her later behaviors. It very well could be both. SID is treated without medication. ADD can be treated with meds or without. If it is ADD, the way a school works with a child (504 plan) is very different and can be helpful.
You might want to get the book, "The ADD/ ADHD Answer book," by Susan Ashley, and read up on it or google it. Definitely google SIDs.