Just try a couple of shots with the quiver off the bow to see if you can notice a difference. Sometimes an overdraw unit will make a lot of noise. You might consider covering it with camo felt to dampen any vibration. Make sure the arrow rest parts are not slapping against the overdraw when firing. Also, make certain that the cables are not hitting the overdraw when the bow is fired.
Loose screw can make a tremendous amount of noise.
Sometimes the rest will slap very hard against the riser or an overdraw if you have one. This happens in a split second and is very hard to detect sometimes. Place a piece of felt on the area where the rest hits bottom against the bow or overdraw bracket, or increase spring pressure on the rest. Fingernail Hardener also works well temporarily on two prong rests. Put a couple of coats right on the contact areas.