Hi, you broke the FPC connector, the only thing you can try, is to push the ribbon cable in the connector, after tried to fit the black piece in place and push it inside the connector, hopefully the black piece will keep the cable in place.
I tried but is broken.
About soldering:
The only problem is that my soldering iron tip is big,i thing that it's too much big.
I am want to buy a soldering iron with small tip but i can't find one with low price
Any suggestions?
Like I said before, if you have the skill in soldering, it's an easy job to do. But if you are unfamiliar at soldering small parts, you can go in a repair shop and have an evaluation for the repair.
Sorry I not at home right now, I'm out of town. Why do want a professional soldering iron? If it's just to solder the connector, then, you can do the same thing of this instructables.