
If your not in favour of unnecessary vaccination I would not use this product, it is one of the vaccines that anecdotally has caused reactions in dogs of people I know (the other is Duramune).
There is absolutely no reason that the pup would need to start from scratch if the first vaccine contained the vaccine for the things you wish to have protected against.
I don't part vaccinate any puppy as I know often do insist on restarting the course.
As long as there is under four weeks since the first shot, then simply just have one full one done, especially if pup is over 12 weeks old, as for the viral components for most dogs one would be enough anyway, if the immune system is mature enough (normally over 12 weeks).
http://www.dogsnaturallymagazine.com/taking-the-risk-out-of-puppy-shots/Just insist you only want one.