USB Drive Issue

Windows 10 home premium 64 bit, all updates installed.

I use an external USB 3 drive for backup. I have two 3 TB drives that
I use for this. Recently, my computer would no longer see the 3 TB
drive. I did the usual trouble-shooting steps including switching
docking stations, cables, ports but no change. I then re-installed
Windows using a Windows 10 recovery disc I had created. Again, nothing
changed. My computer was getting pretty long in the tooth, so I
purchased a new one. Still, the 3 TB drive was not recognized.
However, smaller drives, such as 1 and 2 TB, worked fine.

At the same time as the drive problem began, my USB printer also
disappeared and I was unable to re-install. I went to Windows help and
eventually to a chat with a Microsoft technician. He totally denied
any issues with Windows and kept searching for a hardware solution, so
was no help. I am of the opinion that this problem was created by a
Windows update and wonder if anyone else is having a similar problem
and if anyone knows of a solution.