How do I replace the battery charging port?

Some background: my laptop won't turn on whatsoever, no power indicator lights, charging lights, nor fans turning on. The device will not turn on or retain a charge.

I would like to know how to replace the battery charging port on my laptop. I had a free diagnostic done and they said that the port was physically damaged. They were not able to test if the laptop would turn on with a good battery because they didn't have an extra. Is there a way to use a multimeter to test the physical battery? How do you recommend I go about fixing the laptop?