Just to round out the responses - my DS8 also has similar issues and we originally had him assessed because his pre-school teacher was adamant he was Asperger's. It turns out he is not. He is profoundly gifted (now a Davidson Young Scholar) and has other challenges we need to support, though. So the next best step for you is probably assessment - which is the same at the outset whether it's for gifted or Asperger's or ADHD or whatever. Highly recommend a neuropsychologist experienced with gifted kids - and you'll find good recommendations here if you are comfortable telling us your general location. And FYI - we found that ages 3.5-6.5 were toughest with peers. Very tough indeed, but getting better steadily these days.
Welcome!
Sue