Macs should be able to read the card if it’s in NTFS. They just can’t write to it natively.
However, if you are having issues, like most people said try copying the data back to your PC, reformat the card using exFAT. (NOT FAT or FAT32. They’re less efficient and have several file size limitations.) Also, your Mac has a sdcard slot?
If that still doesn’t work, try transferring the files using a regular USB drive.
The MacBook Air is my friend’s. I don’t have it here. But it does have the SD slot. It just isn’t recognizing or reading the card.