Your arrow flight and bareshaft / broadhead tune testing will tell for sure.
Test it, but I'll bet you'll be changing something.

Anytime you change anything, you stand a very good chance of having to make and adjustment. Moving your rest is one thing you can do to adjust the tune, but there are others. Some guys are very precise about alignng the arrow with the bow's centershot, and will not move the rest from that position. They'll change everything else first, including the arrows.

If you're not sure what else to change to make the adjustment, download the Easton tuning guide.

The sights, will be the last (least important) thingyou adjust since they have absolutely nothing to do with obtaining proper arrow flight.