Using the migration assistant for getting data from old to new Mac, any kernel extension not added by an Apple program such as the virtual networks added by Fusion, Parallels, VirtualBox etc don't get added. So if you had any of those programs on the old Mac, you need to reinstall them on the new Mac, and reboot the Mac after that. I assume you did (re)install Parallels on the new Mac after files were moved over?
If not, reinstall and reboot.
There should be a configuration file for the virtual machine, editable with a text editor if Parallels VMs are anything like VMware ones.
Open the descriptor file (small one inside the virtual machine, if that shows as one file, "show package contents" with right click) with a text editor, and once you figure what is the reference line to the virtual disk, remove the line.
So something in there has the line containing /Volumes/My Disc/Windows XP with Service Pack 2.iso
Then save the file, and try to launch the VM again. Now it should have better success.