Xiaomi Redmi Note 3 Pro (MTK): Can't Recharge, Suspected Charging Socket Issue

Hello, I am the owner of a Chinese smartphone from MIUI, namely Xiaomi Redmi Note 3 Pro (MTK). When I connected the phone to the car charger, information about too low or too high current in the socket popped up so I immediately disconnected it but the battery level was 70% and the phone worked until it was discharged without the slightest complaint, the battery also held on for a good several hours, but I couldn't recharge it, so it dropped to zero and I can't recharge it now. I suspect that the charging socket may have broken, but I am not sure because if anyone can advise me is it true?
In the attachment I send how it looks like the charging socket, because it does a bit of DIY and disassembly of such a smartphone did not cause me any problem, and the photo of the spare part I found if someone shares my opinion about the fact that it is a charging socket, can you tell me if good replacement I found?
Thank you in advance for each comment and best regards.

Yes it is a good replacement. But is this a nest? Isn't it easier to check it with a meter?

I think it would be, but unfortunately I do not have one in my home, but do DIY only at home with my equipment, undressing and, based on the assumption, to replace parts, but I think you are right to invest in some basic equipment. Thank you for checking the replacement and best regards.