I'm not diagnosing your child online, but the difficulty in reading social cues, the lack of empathy, the lack of coordination--as the mom of a child with Asperger's Syndrome, this screams out at me.

I'd watch the child's social development, and seriously consider getting an evaluation if things don't improve. These children often sound like "little professors" and often have some very impressive academic skills, so they don't always seem "autistic" at first.