I would also like to add that for the tape residue removal, you could try using some of the old tape you took off that still has stickiness to it or duct tape. Believe it or not, I've had excellent luck using "sticky" to remove "sticky" in the past on many different objects. Nothing sticks to tape like tape, especially its adhesive. The acetone thing might take longer than you want and you'd want to re-conditioner that stainless afterwards to be safe. But using tape finishes nice and clean.
Just something I've had decent luck with over the years.....