To effect a PC-to-Mac file transfer, you'll need a drive that is "cross-platform formatted".
That is, formatted in a PC format which the Mac can read as well.
I -think- "Fat32" is the formatting scheme you need to use.
BUT -- the external HDD you are using with your MacBook, may or MAY NOT be in that format.
To check, connect the external drive, then click on its icon ONE time to select it.
Then, type "command-i" to bring up the "get info" box.
That should reveal what type of formatting scheme is on the drive.
If it says "Mac OS Extended", it WILL NOT mount on the PC.
My suggestion:
If the HDD is formatted Fat32 (or something OTHER THAN Mac OS Extended), use that to transfer the data.
If the HDD is formatted Mac OS Extended (also called HFS+), leave it as it is.
Instead, get a USB3 flashdrive, and use that to transfer the data. It may take several passes, but "do what you have to do".
For long-term file storage with the Mac, especially with files that are important to you, I DO NOT recommend that you keep them on a "cross-platform formatted" drive.
Keep them on a Mac-formatted (HFS+) drive.
Things just seem to go better that way...