Childhood behavioural problems?

I am not a psychologist but I believe that he probably does Attention Deficit Hyperactivity Disorder (ADHD). From what I have learned in school the characteristics of ADHD are present in what you listed above. Him not being able to function in school and with peers is one characteristic. He has overactivity, inattention and impulsivity which are key signs of having ADHD. What the psychologist should have done from the beginning was evaluate your son in several different settings and then come to a diagnosis. If your son is not treated it will really affect his schooling, socialization, etc. You should definitely get a second opinion. I really applaud you for devoting all this time and effort in order to help your son. I know some people who are just not as involved as they should be in their children's lives and think their child will just grow out of it.