The 'petals' resemble a 'knit stitch'...and yes, you would put it right over the top of the mis-crossed cable stitch.
In the photo below, my pencil is pointing out where 4 lazy daisy stitches are 'correcting' the direction of the cable!
Also, as for picking up for the ribbing buttonbands:
the good rule of thumb is: "pick up two stitches for every 3 stitches on the sweater side".
Also, I ALWAYS divide my sweater's edge into 8 equal sections. Then I pick up the same amount of stitches in each section, and of course, the number is based on the recommendation of the pattern. But, if I've made the sweater longer, I would be picking up more.
Do the identical thing for the other side of the sweater so that your ribbing for the Left Front will be a mirror image of the ribbing for the Right Front.
I commend you for being 'picky' about your ribbing. It's so visible! Bad ribbing is sooooo awful. I've seen plenty of them for the CPH!
Too few stitches: the ribbing will 'bow'.
Too many stitches: the ribbing will 'ripple'!
Use my formula of 2 pickups for every 3 sweater-side stitches and you won't go wrong.
Big Hugs from me to you!
I've been there, done that!
I've had to RE-DO many ribbings for the buttons and buttonholes, too!