RE: arrow dancing
Without knowing ANYTHING about the bow/arrow/rest combination, it's impossible to make any kind of guess. But if I had to...
If nock point is set right; if there hasn't been any string creep and axle to axle length and brace height are still in spec; if cam timing is correct; if the bow is tillered properly; if the rest is set up properly; then the first thing I'd look for is fletching contact.