Hello  
I have been on the NZ tour this year in January it was amazing, you would be one of the younger travellers, what in particular is bothering your parents. 
I have my 9th JY tour booked and I can assure you that you are very well looked after and this is a very safe way for us ladies to travel. 
If I can help you any more or even your parents then please ask me some questions and I shall try and answer them. I hope you get t travel to this beautiful country.Good luck. 
Cindy