Liz, You will need to copy the photos to the new computer. (Your PAF file does not contain the photos, but merely links/pointers to the locations of the photos.) Copy the photos to a folder in the same location as the PAF data file on the new computer.
Click on someone whose photo was previously shown. Then click the Camera icon > Modify > Browse > and then find the photo and save the new link. PAF should ask whether you want to use that location for all photos. If you say yes, and you are a little lucky, all of your photos should be shown.
Better yet, the new links should be a different type of link that will work even if you copy the PAF file and photos to a different location, such as a flash drive. It works fine for me.