You cannot rename multiple files in Preview. You could do Save As ... to rename files, but that only works with one file (image) at a time and isn't actually renaming, it's saving a duplicate with a different name.
For batch renaming, I recommend A Better Finder Rename. I have used this over a number of years and different releases. It was excellent to begin with, and gets even better with each release. There is also a companion app called A Better Finder Attributes that I have found helpful with image files also ... creation & modification dates, EXIF info, etc.