Is the hood a completely separate piece from the cape? So, therefore, you have the "right" side of the hood, and the lining, which both need to be joined to the cape itself?
I would sew the lining section first, set it aside.
Sew the hood section next, set it aside [Neither one is attached to the cape at this point].
Next, sew the hood itself to the cape along the neckline (right side to right side).
Press a 5/8 seam allowance up on the neck edge of the lining for the hood lining. Join the lining to the hood, right sides together, leaving the neck edge UNSEWN. Turn it so that the right sides are "out" for both the hood and the lining.
Now, slip-stitch the lining edge down along the neckline, catching in the raw edge/seam (you may need to clip curves or etc., depending on how the neckline goes). If you don't want to slip-stitch, you could machine-stitch the lining edge down instead (it would probably take more roughness this way, just wouldn't look as "neatly finished").
I hope that's somewhat more clear than mud.