DC battery charging point not working

The point at which I plugin my charger seems to be gone. I checked if there charger had a problem but seems like the port where I plugin seems to be wrecked(was never comfortable with the flat pin concept).

can anyone help me with which part I should order for. I have already opened the system from the back end and put it back together. not sure which part will help me fix this.

This is my primary laptop, so I bought a new one in case something happens in future but I want this up and running badly. all my important data is on this and I don't want to spend big bucks.