Allroy, you are well-qualified for a career in commercial nuclear power, especially in operations. There ARE plenty of ex-officers around in various levels of management. Some of the above threads spell out the details. I would offer one piece of advice: you want to get that job, and naturally you'll have to exploit your experience. But once you've hired on to a company, don't flaunt the fact that you were an officer, that you twice saved the world, that you commanded untold men into danger, etc etc. Nobody really wants to hear that stuff; I would be somewhat low key about it, do your job, earn your status in the civilian world just as you did in the Navy.
As well, the challenge will be big. You probably will elect to get into operations, at least to start --- and it's the right place to start if you want a career in management. But it won't be a breeze. In my experience, qualifying and getting an SRO license at a commercial nuke is MORE DIFFICULT than qualifying EOOW in a naval plant.
To reply to your questions: no licenses are necessary prior to hiring on. In my opinion, your Annapolis degree will perhaps help you later, and it can't hurt you unless you flaunt it! It's been quite a while since I was last job-hunting, so I don't have a good answer about the head hunter question. If you elect to start out in operations, be aware that most utilities hire groups of people periodically --- this is a matter of business sense. Often, the company may hire on people as "staff", where you'll do administrative work until the license class starts. Or, you can take a job as a non-licensed operator to start: that is a path that will take guts on your part and will require you to use your muscle as well as your brain for a while! Best of luck.