Hi Nancy! Boy did you ever come to the right place. There is so much info here, and really experienced people.
As far as the nipping goes, try this:
http://www.leerburg.com/qabiting.htm
It's mostly about puppies, but it should apply to a one year old dog.
As you probably know, submissive dogs in a pack will occasionally nip the underside of the alpha's chin as a sign of submission. That could be a possiblity...I've encountered it with my dogs at first. While it's a good sign of how they view you as a pack leader, it's annoying or painful and has to stop.
Ed has some really good advice on this, and I would also suggest you use the search feature on this board because this issue is a common one and has been talked about a lot. Personally, all I've ever had to do was make sure the dog knew I didn't like it. I also have hearding dogs and they would try to nip my ankles, or my son's, when we were running.
When he nipped me in any way, under any circumstance, I would say a deep, assertive, loud, "NO." If I ran and he didn't nip, I would praise.
If it's puppy hand nipping, I would do the same thing, only I would then put my fist (to protect fingers, if he's a hurtful nipper) up to his nose after a "NO." If he tried to mouth it, he'd get another, strong "NO." Then I'd do it again, and when he didn't put his mouth on me, or when he licked me, he'd get praise.
This is my opinion, but I think playful or submissive "nippers" (meaning NOT biters or aggressive dogs) usually just need to know you don't like it. They want to please people, but they need clear corrections and clear praise. It's been my observation that many people don't really make it clear to their dog that they don't like something.
For example, they'll say "no" in a high, wheedling tone, or a rapid serious of sweet, "no-no-nos." To a dog, this can sound like praise, or encouragement. It's not the word, it's the tone.
I heard an example of how to say "no" to a dog once: Pretend that the word "NO!" is a rock that you are throwing. You can throw it lightly or hard. There are levels of correction with your voice as well as with any other method. So at first, a firm "no." If no response, really throw your "no" rock! This has always worked for me.
Things have to be clear to a dog...and do it every time they nip, not just occasionally, and every visitor to your house should be given permission to do the same to your dog if they're nipped (I say this because if you don't tell people, most people will be afraid to discipline someone else's dog).
And if this does not work...and I recognize that with some dogs it won't, the you should probably get a correction collar of some kind (but I'll let others here help you with that part, if needed).
In any event, it's all about increasing the level of correction until you get the desired results. And don't forget to praise calmly when you do.
Best of luck to you and enjoy the board!