"OFF TOPIC: Considering some members (that saw the evidences and are sure I wasn't acting like some idiots say) asked me by msn and email to just ignore the jerks and come back to this community, here I am."
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Back to the thread, here we go and I hope I can help.
There's nothing wrong with your washer at all. The agitator was designed to have this mechanical action.
It looks it's turning to the wrong side, or not turning but it's to compensate the basket action.
Here in Brazil, the same agitator was enhanced when we decided to make it rigid and allow this "unbalanced" wash action using a triac. The wash action seems to be slow as you can see, but it's much more gentle to the fabrics and the results are excellent. Also, using the triac, the washer is much more silent and much more power efficient.
Obs. On the video, there's no rollover because the washer had a full load using low water level.