I agree about the 600 spine shafts. In answer to your other questions, yes it matters. You will not shoot as accurately as you can until everything is working for you: your arrows are tuned, your bow limbs are in allignment, your brace height and nock point are properly set, your form is correct, and your attention is focused. If any one of those factors is off, it will affect your shooting not just a little bit, but significantly.
You didn't state what your draw length is, but the configuration of your arrows will change depending on whether you are drawing more or less than 28". For example, if you are drawing 26", you are pulling about 36#, and a 600 spine arrow would still work; if you are drawing 30", you are pulling about 44#, and because of the increased weight and longer arrow, you might need to shoot a 500 spine arrow.
Whatever arrow you decide on, you should get an assortment of points, say 75 grain, 100 grain, and 125 grain, and see which one makes the arrow fly best.
The shorter the arrow, the heavier point you need, so if you find the full-length shaft flys best with a 75 grain point, and you would like to hunt with it, you might want to trim it back an inch or so (assuming your draw length will allow this) so it will work with a 100 grain or 125 grain broadhead.