If you wrote it correctly your trying to move the SIGHT to correct the tear?
You can take the sight OFF of the bow for now if you like

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If you meant to write that your moving the rest, then I would think your torquing the bow on the shots where the tear got bigger, but no adjustment was made.
Maybe you should look to the spine of the arrow as a possible culprit. Try a ligher or heavier fieldpoint to stiffen or weaken the spine and see if that helps.