My quick bitch of yesterday has been resolved.
I got a phonecall today, of a replacement of my contact (I had asked for him specifically) And he gave his approval, will send me the papers today, lessened my boring duties. And I can go on with this programm to find a job with this agency specialised in autism and jobs.
Sometimes, knowing the right person, bureaucracy can have good shortcuts. The man that called me now had told me 3 years ago, when we happened to meet in a very different setting, that if I ever needed someone at his work, I could ask for him.