I second the don't call your dog a back yard breeder/designer dog name. Seeing as how the dog is a mixed breed there is no guarantee as to how it will be energy wise, health wise, and any other aspect. Each dog of this mix will be completely different from one another. I'd suggest you researching both breeds- The Akita is not a breed for first time owners. It seems like she has more of the Akita personality(being aloof with strangers). The stubborn nature is also an Akita trait.
Start obedience training immediately. Be firm when handling, after she has all of her "puppy shots"-which won't be until she is four months of age- enroll her in obedience class. This way she will get socialization with other dogs. Socialization is very important, make sure you socialize her with all animals, people-of all shapes, sizes and races, as well as different types of styles- do not let her on the floors of pet shops, parks or anywhere else a dog you don't know may have been until she has all of her puppy shots.
Grooming-Again her coat type will be mystery. Research both breeds, see which one she is closest too, and then follow grooming instructions for that breed.
Edit: Ask your veterinarian when you should change her food, or switch half to homemade food or go to a pet supply store and talk to a pet food nutritionist and ask them.