Where did he come from?
Was he raised in a family environment with his mother and siblings with plenty of space and separate food bowls?
Not saying this applies to your dog op, but sadly, sometimes puppies who have had a less than ideal start in life (ie who have had to compete for attention, food and space) ie have experienced lots of stress have been hot-wired to become a bit bitey and aggressive.
Could you get her to a good puppy class?
Agree with Backintherealworld, as you probably already know, puppies between eight and 18 wks need to get out and about as much as possible, and be as exposed to as many different sights, sounds, smells and experiences as possible to build their confidence and reduces anxiety levels (and in turns reduces aggression). Your puppy is at the key age for this.
He needs to mix with lots of different people and different dogs: for example, your puppy might benefit from interacting with an older bitch who would gently reprimand him a bit for biting?
And definitely ignore the negative and reward the positive every time.
I'm no expert, but I'm not sure I entirely agree with others on here who say "he's a puppy, he'll grow out of it". He may do, but I don't like the sound of the "lunging" you describe and I think it would be better to get some help with this now in case it gets out of hand later. Besides, you don't really want anything at this stage to adversely affect your bonding with him and your family.
Good luck op!