I found the part who was deffective: the connector of the screen has broken due to too much movements. :-( Screen is perfect and clean but dead.
I have done all these operations 6 times to get back a good displaying. The last was the last: nothing on the screen now. It is now black, no sound, no vibration, BUT the iPhone show up in iTunes O.O
iTunes asked me to update the iOS to 10.3.3 but it’s already done. I clicked OK but nothing more. Still black and quiet.
The new battery is 100% charged.
What is my problem, please help :-(