Ouch! How much did you pay?
The question you have to ask your self is the amount of work (and the cost of the parts needed to fix this system worth it?
This will need someone with good micro soldering skills to clean off the broken pieces of the connector and put a new one on. But that may be the easiest issue to fix! Is the rest of the system even working?
First you need to make sure the pins are not shorting out and if the system even has the correct RAM and HDD drive. If someone plugged it in without checking things they could have caused some damaged to the logic board.
This may end up being costly!