Because they are run extensively in new Zealand, thousands of sheep, they are now likely to do surgical docking (cutting the tails off) rather than rubber rings within the first week, leaving open wounds that are at risk of tetanus, but the lambs will generally be old enough that mum's antibodies have worn off, so vaccinating and docking can be done together.
If unsure, doctor Google may give you answers that aren't appropriate to your situation, your best bet for a vaccination/flock health plan is your vet as they will usually know most about local conditions and can help you tailor any treatments to your specific situation (number, type of sheep, land, local conditions).
I'm glad you've made contact with your vet, do discuss with them regarding ongoing treatment, hope all goes well.