I've never handled a Nova, but from the looks of it in my catalog it appears that the dog legged shapes cable guide is held in place by an allen head bolt. If so, loosen the bolt and rotate the slide out away from the string just a little bit and then retighten.

If not, are your arrows left hand fletch? This could cause them to drag if the rod is cole to the string.
Are you torquing the bow while drawing back?

A new arrow rest?? probably not needed, but the question makes me wonder about your center shot.