Yep, that is probably all you need. If the release itself were broken, you wouldn't have been able to pull out the inner cable.
As soon as you have opened the hood (with the help of a flat screw driver, a flashlight and some luck) you can easily rerun the new cable after you took out the old one.
The inner (silver) and outer (black) cable comes as one piece with the joints at beginning and end to attach to the hood-release parts.
with a minor 600+k