for the edges, i doubt any of the plugins compare adjacent frames which means that you would need to blur edges with find edges effect alpha matte or use timewarp’s shutter blur or reelsmart motion blur. I would also use Neatvideo for the actual noise.
for the jittery, if increasing the framerate before adding the effect doesn’t work, consider frame averaging after the effect. an example would be timestretch the layer 50%, then add timewarp 50%. This will create a net effect of some newly created optical flow frames to be discarded.
it smooths camera movement so might smooth stutter.