our son 6 has a motor tic,eye movement,bad stutter

I'm may this year our 6 year old son started to stutter our pediatrician said he has a motor tic.,now he is making weird eye movements,stutter is worst we have ever seen it.he is also tired and says he has headaches,also his handwriting has deteriorated,he is also very figity..gp says its not tourettes and i shouldn't worry.the speech assessment team attended my sons school and said his stutter was so advanced they couldn't do the assessment,as they would need to use a stutter counter.they are coming back to the school to see him again in  2weeks.can this be a form of tourettes?we are just concerned parents and  need some advice as to how best to help our son.