I cannot imagine in gods green earth why a boarding/play facility would require annual vaccinations in this day and age. For that reason alone I would probably look for a different doggy daycare. :-) Bring them a copy of the new vaccine protocols university and teaching vet hospitals use now, UC Davis School of Vet Med:
Anyways, most vets do not carry the separated vaccines unfortunately. I would probably go ahead and do the Dhpp (distemper, hepatitis, parainfluenza and parvo) combo vaccine. Just make sure it is a year from when he completed the puppies series, not a year from when he started it. I would do the rabies at least 2-3 weeks apart from the combo vaccine, just so as not to overload his immune system. Rule number 1 about vaccinating, is to never ever vaccinate a sick animal, the immune system is stressed fighting off whatever they are sick with, and chances are they won't seroconvert, so it's like not vaccinating at all.
From my my understanding from a friend that works in the industry, the rabies vaccine is exactly the same, labeled for one year or three years, but by all means, get one that's labeled for three years. And keep his rabies certificate in a safe place.
Canine cough is probably the bordetella vaccine, go ahead and give that I guess, most day cares require it every 6 months. If you can talk them out of it, do try to, but they probably won't budge in that. I don't give it and my dogs go everywhere with me and to shows and travel, and they just don't get kennel cough. Plus the KC vaccine just covers a few strains, and they can still get KC, Just like our human flu vaccines.
I also heartworm worm test every year even though I give heartworm meds year round. I want to know my protocol is working, so yes to the heartworm test.
So the takeaway is space out the vaccines, give as few as possible, and don't vaccinate a sick dog.