My batteri wont charge

Hi,
I m trying to fix this old Macbook, I got. I have an MacBook 2012 aswell, and have two chargers, both are working with the 2012 so they shouldnt be the problem.

I bought a new battery to the mid 2010, and everything works perfectly, but the new batteri wont charge. But I can run the computer with one charger in it, that works great.
I have tried to reset the SMC, both with remove the batteri and hold down powerbutton for 10 sec, and left shift, ctrl, alt for 7 seconds and the power button for another 7 sec.
Which one is the correct way for my Computer? But none helps.
Is there anything else I can do?
Its an old drive in it so Im gonna change to SSD, and also change RAM, could that help someway? Newer OS?

Ok, this is the image.
So I bought a new battery, when i came it only had 10% battericharge, when I was gonna check coconutbattery again now, my daughter(there for the destktopimage :) ) had used the computer without a charger. The charger has a green lightning but the computer didnt start at all. I saw a youtube movie earlier where they schratched the keyboardcontact? and this worked, but the fan went realy high. However I was able to take this picture.

But now I have the startproblem to deal with aswell….