Window screen plunger pins

I need to get some plunger pins for our screens. I hope you can help me get the correct size. The lower part of the pin (the short fat part) is 13/32 from bottom to shoulder and has an O. D of 5/32 (the bigger 7/32 will not fit). The part of the plunger above the shoulder is 3/32. The threaded part is less than 3/32. The knob screws on to the lower part and the knob is 3/8". The total length without the knob is 1 1/4" (from the end of the threads to the slightly rounded base). The 3/32 part is 27/32". Both the pin and the knob are metal.