I have made several quilted jackets, I love to do it. I make them all different weights. I know the trend is toward simple, but I enjoy trying to make them more special. I have used silk from the drapery section for the backing. I used flannel for the sleeves as a batting and a very bamboo batting for the front and back. It drapes very nicely. I usually get the front and back joined then quilt that as one large piece. I quilt each sleeve separately.
The two tricky parts are finishing seams and facings. If you line it that's a breeze. If you choose not to line it you need to sew the neckline and front right sides together to the backing, turn trim seam allowance and stitch. This will leave armhole, arm and side seams that need to be finished either by serging, french seams, flat felded seams.
I ditto the warning to avoid batting that is thicker than 1/8th inch. What happens is you look like a stuffed weather vane, with arms pointing E and W. I learned the hard way!