No, the problem cannot come back. Now the firing pin is sitting in the channel properly, so it cannot hit the faceplate.
Although I've found another problem but I was able to fix it with a dremel. Sometimes the sear didn't release the hammer when I pulled the trigger. Here is a pic of the part I have to file down a little bit and I've linked a short movie (6MB) to show the problem.
And here is the movie:
http://rscon.ca/yildiz_trigger.wmv
So all is well now, hopefully it will serve me for a while.