Well, nothing worked. I even tried what was suggested on this other thread
https://bitcointalk.org/index.php?topic=1513892.0 with no luck.
All my bitcoins where unconfirmed, every time the sync was done up to a 100 % the Payments where left processing.
I reinstalled the client, I deleted all the temp files, installed in another PC, I even left it open for 48 hours, no one transaction became green. No luck.
In the end, I tried messing around with the code of the main file of the wallet itself, with another version of the MultiBit HD client, and I forced it to sync, all green, all fix.
Lucky !