Using RFID antenna to read NFC tag
You will not be able to read NFC tags with such a distance. The read distance is limited by design, and you can't easily change that. 

Now there are ways to extend the useful range to about half a meter, but that's really tricky to do and part of active security research. I doubt that you want to pull that off for a school project. You need a lab and several years of experience to pull this off.

I suggest you look for other RFID tags with medium range read characteristics such as ISO15683. Their read distance is longer, but you need a huge reader-device for that.