It is highly unlikely that your part marks would change copying a project from one computer to another. I presume that you quite possibly renumbered your project at some point with an alternate numbering Method.
When choosing the numbering method to use as a default, you need to select Apply after so it will stick.
Perhaps you used one numbering method at work which was not the same on the other computer. Check to see if the numbering method you use at your office is the same as on your laptop.
Hope this helps,