Windows 9x is known to have issues with newer CPUs. You don't say what CPU was running in that old Windows 10 system, but I wonder since the problem occurs on the new PC with a more modern Intel CPU that you might be running into these problems.
If you haven't done so, you may wish to take a look at https://github.com/JHRobotics/patcher9x if you haven't used this utility when you installed Windows 98 in your VM.
Did you accept the offer to upgrade the virtual machine's virtual hardware when you moved it? If so, switch it back to the virtual hardware version that was present in on the old PC.