Paul has given excelent advise here , as far as weather to move the rest or your nock point , I would move which ever one brings the center of the arrow shaft closest to the center of the rest mounting hole .

As to which is more accurate , I think that will very between bow to bow , some will tune best with the field tips and broadheads hitting close to , or in the same hole, as each other and others , they will be slightly apart . For me it is usealy in windage though , nock point should be very close .

Another point is that many target archers seem to get their best groups with a slightly high , and to the right setup with field points , and with broadheads I think that will open your groups up .

The point about adaquate fletching to stear a broadhead equiped arrow is dead on .