Right. I through myself back at teh wiring of the Epi... As you can imagine, the reason I am reviving this post is... something is still going wrong.
I have followed your advice about adding some flux. First off, turns out, and I never really tweaked, I am myself using lead free solder, but before this episode, it didn't give me any trouble. Secondly, When I try to apply more flux, it creates a bubble of additional solder which doesn't spread over the existing solder. I believe that this usually happen when the substrat is not hot enough, but believe me, the thing is "boiling hot". I touched it with gloves and I could definitely feel the heat through in a matter of half-second.
So I dispair, what the hell is going on? I have gone up to 300 degree C this time only, and I was working on trying to detach the hot lead to the jack. The worst is, at some point I had a break through, when I tried without the heat sink plier, but not enough to loosen the wire... Arghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh !!!!
"Help me Obiwan Kenobi, you are my only hope"