Hello,
This happened because of the way that licenses work on Windows 7.
You most likely had a license that was embedded in the motherboard of your Travelmate laptop. That license is only valid on said laptop, and not others. Because Windows can't use the old license on the laptop that you put the hard into, you get the issue with the non-genuine copy of Windows.
With this being said, the other laptop should also have an embedded license in the motherboard. If there was an activated installation of Windows before, and you try to use that license with the new hard drive, you will also encounter this error because more than one device is trying to use it.
Your best bet would be to put the old hard drive back in the laptop (the one that came with the Acer laptop), deactivate Windows, swap out the hard drives, and see if it allows you to activate. You may run into issues with activating Windows 7 as it went out of support; but I can't vouch that you will have issues, either.
I hope this information helps.