WD passport 1TB turns on my PC in Hibernate mode hourly

I set my WD backup to be performed every first week monthly. This is not working since I see that my computer turns on every hour after hibernate it. I don’t turn off my computer completely since I have many windows opened. The thing is, that is does not matter what I do, my computer turns on every hour.
In the same way, I have noticed that my mouse pointer gets slow from time to time; moreover, when I fully restarted my computer, my WD passport was not recognized, so I had to unplug it from the USB router and plug it into another port. The device was recognized and the drivers were installed again. It worked after that.

Hello,

When the Passport is not connected to the computer, does the issue with the computer turning on stop?