Some vet techs really bother me (but then some vets do too).
Puppies should not be vaccinated at 5 or 6 weeks.
The earliest that it should be started is 8 or 9 weeks.
Anyway, vaccines giving before a certain age will interfere with maternal antibodies whether they are still nursing or not. Puppies are totally unprotected after their first vaccines a lot of the time.
Hope this helps