65 MB/sec is far too low unless they're all small 4K files, which I doubt since most games try to have big "PACK" files where possible. Even my 5400RPM Green sustains well over 100 MB/sec for the entire copy duration of my ~440GB GB gaming library.
How were your copy speeds before you got the new drive? 90% of the time the problem is a background virus scanner, so disabled/exit anything like that and try again.
Also maybe the new drive is faulty? Try pairing an SSD with each HDD one at a time to try to isolate the problem. Also check your event viewer while copying to see if any I/O errors are logged.
Sometimes its faster to do a steam backup and transfer over the backup files and reinstall from there or just re-download the games.
Nonsense. There's nothing magical about Steam backup, it's just file copying.
As for downloading, no internet connection is going to come close to a modern mechanical HDD doing local I/O. The newest drives are capable of sustaining over 200MB/sec in real-world transfers.