Cannot boot Windows 8.1 after migrating to Samsung SSD using supplied software

The problem you experienced is caused by the Windows installation on the SSD continuing to reference the old hard drive. As a result, Windows incorrectly assigns a drive letter that is not C: to the SSD. Because the system assumes that key system files are in C:, several core components stop working, rendering the system unusable with the behavior you experienced.
If you didn't swap the hard drive and SSD, and simply booted into the SSD, the system will work to a very limited extent: Explorer will crash repeatedly, and many features will not function. This is caused by a mismatch between the system volume (some drive other than C:) and the actual location of key OS files (which is still the hard drive C:). Even in this state, you cannot change the drive letter to C: in Disk Management as it will return "The parameter is incorrect."
To prevent this from happening, you need to remove the hard drive before booting into the SSD for the first time. When you do this, the system will realize that there are no other storage devices and correctly assign the SSD C:. Once this is done, you are free to install the HDD back into the system.
If you fail to remove the hard drive first, you need to boot into the Windows installation on the hard drive and repeat the data migration operation, then try again and remove the hard drive to boot into the SSD.

WinRE provides vital system recovery features, such as the ability to restore from a system image or perform automatic startup repair. These features will not work after migration and must be enabled manually. To do so, run the command reagentc /enable in an elevated command prompt.

Windows can get confused by the presence of UEFI and recovery partitions on the old drive. This can cause certain volume-level operations such as system image backups to fail.
To fix this issue, erase the partition table on the hard drive. To do this under Windows, run DiskPart in an elevated command prompt, select the hard drive, and run clean. Be 100% sure you've selected the old hard drive; running this on the wrong drive will likely result in data loss.
Alternatively, you can boot into a Linux live CD and run dd if=/dev/zero of=/dev/<old-disk> as root, then hit Ctrl+C to stop it after a few seconds have elapsed. Once again, make double-sure you've selected the old hard drive—you may want to disconnect the SSD to avoid the risk. You can then reinitialize the drive in Disk Manager and partition and format it as appropriate.

Because of changes to the Boot Configuration Data (BCD), Hyper-V will not work if previously enabled as the hypervisor layer will not load. You need to disable Hyper-V Platform under Hyper-V in Control Panel>Programs and Features>Turn Windows features on or off, reboot the machine, then enable it and reboot again.

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