Will screen plunger pins work?

Thanks for reaching out! Both sets of pins are 1-1/2" long, which should be long enough to fit a frame with a 1" width.

To confirm if either of these are the exact pin you need, however, that would depend on the original pins installed in the frame or if there were any installed to begin with. Unfortunately, I would not be able to tell based strictly on the measurements of the frame.