RE: new string
If your arrows are planing, there is an issue with your setup. It usually means it is something to do with the arrow/broad head setup if your field points were flying straight. If your target arrows are flying crooked, then it is your bow.
One thing to note. If you sight it in for the way it is shooting now, do not take a longer shot than you have sighted in. If you sight in with this problem at 20 yards, do not shoot at an animal past this distance. You arrows will be further off at longer distances. Where you are 4 inches off now, you could be as much as 10 inches off just 10 yards further.
With carbon or aluminum arrows, not all will fly well with each specific broadhead. I typically start with a dozen, tune a broadhead to and arrow and try it. If it doesn't shoot straight, I try the same broadhead on another arrow until I match teh broadhead with an arrow that flies straight. Repeat the process with your next broadhead. Put on each arrow including the ones that did not fly straight with the first broadhead. Sometimes it takes the whole dozen to get 3-4 good matches. Especially with aluminum.
Good luck!!