I need a longer version of the screw on the back of my servo but I can't figure out whether it's metric inch or anything else.
Its one of those 4 screws that keeps the back case on and holds the servo together. The threads appear to be fewer. I'd say 30 threads per inch, and a diameter around 1/16in.
I doubt you will find servo size screws at any general purpose hardware store. You might find some threaded rod at a hobby shop and cut to length and put nuts on the end. The reason you need longer screws might open alternative ideas.