Can I fix my laptop charging port?

I have a lenovo g70-80 where the charging port is not working right, it's not charging I know it's the port cause I got a new charging cord for it, and it didn't work. I don't see any cracks in the port but the port wiggles a lot so just wondering if I can get it fixed.

Is my Charger Port Broken?

I'm running a Lenovo Windows 10 Laptop and yesterday my charger would connect to the computer just fine, but now whenever I plug it in, it won't register it and won't at all unless I push on it, is this my charger port breaking or is it the charger?

Lenovo laptop screen light problem

Lenovo laptop screen light problem

Added (1). my laptop is lenovo z50, when i shut down my laptop or turn off the screen light, from cornor of the monitor the light blink, what is the reason is it going to die the monitor?