I agree with ckcowl. Bias strips are the way to go for the vines.
Cutting them on the bias will allow them to bend as needed. I do traditional applique and when I have a vines to do, I cut bias strips twice the width of the vine plus 1/2 inch. I fold them, right sides together, sew along the long edge, and turn using a bodkin. For narrow vines, I'll trim the seam allowance before turning. Once turned, I iron flat with the seam on the underside and hand applique onto my quilt.
For the candy corn, I'd piece them, then applique the entire candy corn onto the table runner. It looks like the seams are curved, but it's only a slight curve and they can be clipped and eased so they lay flat with no trouble.