Hello. I bought a 2010 MBP 13” which I have upgraded and cleaned but the screen falls backwards after a certain point and...

I'm guessing that the discolouration around one of the pins, either on the mbp or the charger means it's 'fried'? My charger has the top end pin with slight discolouration and sometimes it doesn't light up properly and the battery says it's not charging. Brand new battery by the way.