If I'm understanding your question someone was telling you your dogs needed to be vaccinated but it was 2 months to early? So your worried about them being vaccinated to early. If this is what your asking then yes absolutely that can be an issue. I don't know who was asking you to do this but I would highly suggest you talk to your vet about it before you get them their shots.
Yes they have to in case they bite or they get lost its like kids getting shots before the kids go to school N the cats or dogs can stop mating too
All dogs and cats get rabies shots and spayed/ nurtured location chipand medical checkup
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