Where did you get the part from? You either have the wrong part or the logic board its self is damaged.
Here is what the correct part looks like: [product|IF117-015|MacBook Pro 13" and 15" Retina (Late 2012/Early 2013) Airport/Bluetooth Board Apple P/N's 661-6534 or 661-7013]
The system info panel is not even showing the cards info which would be the heading 'Interfaces:' just below the 'Software Versions:' heading. Which tells me the card is physically not being seen. While you also might have antenna issues as well, we still need to get the card visible here first.