I've given 5 in 1 vaccines to six week old healthy pups before. No problems. I will only give a 8 in 1 (now 9 in 1) to pups 8 weeks and over though.
i do the same,you dont want to over load the pups immune system with a 7/8/9 n1 shots recomended by vaccine manufacturer also.use high titer shots -duramune max 5 is a good one/spectra 5 good one too,not all vaccines are hi quality,some will just give you a false since of security.
.we vaccinate our bitches with hi titer shot before they come into heat if we plan on breeding so they pass immunity to the pups.