Responsive does not put rel=”author” links in the post byline but it does add an author box to the post of each post with the rel=”author” link. Responsive does show author details on the author page so you just want AuthorSure to add the profile links beneath the bio.
This AuthorSure settings for Responsive are:
Author Post Settings: Byline
Author Page Settings: Maybe use bio=extended or bio=none rather than repeat the author box
Advanced Settings: use default settings