After this assesment my local AME decided to suspend my Class I medical for a long time
Your location is only given as "Europe". In the UK an AME doing what you describe is probably exceeding his authority, though it might be OK elsewhere. Here, only the AMS (ie the CAA) has the authority to make a medical certificate holder "T/U" (temporarily unfit). This decision can be reversed as soon as satisfactory reports are received by the AMS confirming that Class 1 fitness has been regained or returned to.
In this instance you should definitely by-pass the local AME, and take this up with your national AMS. Initially, at least, trying to get assessed in different countries is likely to confuse matters, and make things worse, not better !
Good luck !