I am gonna do something I haven't done many times over the years, but I am gonna disagree with Swamp that the centershot is out. I say this as evidenced by the pins in relation to the string, aligning them would put the rest real close to center. It is just how it is being held in the picture.
Are all your arrows having clearance issues? If so, are the nocks all turned the same way?
I think you have two issues. You have a rest not getting out of the way fast enough....with this I agree with the two above. However, I also think that if your nocks are all aligned like this one...you need to turn them so that the **** fletch is more straight up. The fletch you say is hitting is turned downward. If the rest isn't getting out of the way, this will make it more pronounced.
This is why I simply don't like the QAD, never did. I know it can be a fine rest, but not for me. Trophy Takers and WB's are my fav's.