Thanks for posting! To identify the replacement screen plungers needed for your window, I'll need to see a photo of the existing hardware. If they're missing then we wouldn't really be able make a recommendation, especially an accurate one.
Is there, perhaps, another screen in the house that does have a plunger? It would be best to see it removed so that we can see the design and you may need to confirm measurements.
In the meantime, take a look at the section of our website that displays our screen pins and plungers to determine if one of these might work as a replacement. You may review them here: Replacement Pins For Screen & Storm Panels.
Please let me know if you have any questions.
Thanks for the photo. Take a look at our Sliver Line Screen Clip, part 70-222. Look over the dimensions and compare them to your existing screen clip to determine if this is the replacement you'll need.