Unlikely if she really tries. She surely has time to find a vet and explain the situation to her.
It may cost her money, but you have to do what you have to do.
No, swollen teats have nothing to do with the number of pups being carried.
Read the link provided above and talk to some breeders and your vet to learn the signs of impending labor. They should be easy to detect if you are vigilantly watching her close to her due date. Panting, nervousness, loss of appetite, reclusiveness, pacing, licking, temp drop are common indicators.
You cannot get AKC papers. The dogs are not going to be purebred dogs. There is no way the male is AKC registered. If you are under that misconception, that is very unfortunate, but in the end, the dogs are going to be mixes...not registerable dogs.
They go into labor whenever they feel like it, not only at night. It is often when their environment is calm, if they can help it. (Hope that makes sense.)
Signs of distress--in other words, the things that typically lead to serious complications for the female and pups. There are literally hundreds. How can you possibly educate someone on that in a week over the internet. You can't.
We can do a question and answer session all day long...but it's never going to be enough to ADEQUATELY prepare someone for what lies ahead. The way to BEST get her ready is hope she understands this and gets a mentor as advised. "Not having time to find one" may not cut it.