Sounds like you do need to look at the pawl adjustment... check the manual for info on that... that shellplate should not be moving cw or ccw while you're seating the primer. Just went and got my manual (my press came without a case feeder... the case feeder manual is a bit different --- if that's what you got, download the other manual from hornady.com) -- at the top of page 6 it mentions a "double-click" symptom of mis-timed pawls. On page 17 of the same manual it explains how to make adjustments.
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