I have successfully replaced one contact on an iPod dock connector. It is very fine and delicate work and considered myself lucky. I would consider the damage to this dock connector irreparable. Do a search for iPod repair depots. I would say at best the mainbaord will need to be replaced and probably best left to an expert.
64GB iPad 3, 32GB iPhone 4, 1G 16GB touch, 4G & 6G Silver 16GB nano, 5G 60GB iPod, 1G AppleTV, 2G ATV, 2.5GHz 17" MacBook Pro