your recently posted image with handdrawn red borders of “bad”-domains is helpful because it shows that the somehow unclear left/right = good/bad classification doesn’t perfectly apply.
Of course and as mentioned by others already, the task requires some kind of texture-discrimination. Basic investigations reveal that this can’t be achieved by using first and second order statistics. I also tried Haralick-measures that are available for ImageJ, but without success.
It appears possible to create a rather good binary version of your sample image that appears well-suited for processing by “Analyze Particles…” as proposed by others already. However, this approach moves the fundamental problem of domain-recognition to the evaluation and grouping of ROI-measurements …