vinyl plastic "spline" which holds storm door window/screen in frame on all 4 sides

I think we can help, but our solution is a little different. The problem with these long retainer strips is that every different door company changes the style that they use almost every year. This makes it next to impossible to keep up. As such, we suggest considering something like our 70-180 storm door clip and drilling a hole for a 33-020 screw. This is how storm door companies did it once upon a time, and we still find it to be an effective and simple solution. The 70-180 would need to be secured on the face of the door with a 33-020 screw. The end leg of the clip has a 1/2" reach and should press up against the screen or glass panel in the door holding it in place. I would suggest installing four or five on each side and maybe two at the top.