Emma sounds adorable, and luckily has found a home with someone who is home during the day, because 5 weeks is WAY young for pups to leave Mom. 7 weeks is usually the minimum age. If it was me, I would worm the pup this week (almost every puppy has roundworms) and give her first shots when she turns 6 weeks of age and boost at 9-10 weeks. You can buy them and give yourself if you are comfortable with that. She is too young for rabies, I believe, most vets recommend ~12 weeks, so if you've had any rabid animals in your area keep a close eye on her - she should have natural immunities from her mother still protecting her but by the same token she should have her mother teaching her how to be savvy in dealing with the world. Your adult dogs will be a huge help in that regard. Once I finished the first series of vaccinations, FWIW, I rarely re-vaccinated. I have read many many studies, most of which conclude a dog's immune system not only doesn't require or benefit from most annual boosters, it is sometimes weakened by them. Don't take my word for it, please, I have been dog-less the last two years since I lost my constant companion to age and heart disease (accompanied me to work every day) and will remain so until I feel I have enough time and energy to devote to either raising a new pup or training an outcast adult - the latter is actually my preference, saves a lot of time on housebreaking and you know what you're getting.
If I sound like I'm on a soapbox I sincerely apologize. I have witnessed too many heartbreaks when it comes to young puppies. Chances are Emma will be absolutely fine no matter what you do, dogs as a rule are pretty healthy.
Did your chickens get your pumpkin carvings? What are your kids going to be for Halloween?