1) No, not part of any group.
2) Yes, my sis is a NZ citizen. Visas are valid, will be valid at time of application, stayed for 3 months before.
3) My cousins wedding is in March. Also they need to be back to renew pensions every year in month of November ( if not, will be blocked by bank). A form needs to be filled at the bank. They just did it for this year and have a receipt for it.
4) Only benefit is medical reimbursement, can ask for proof.
5) No loans.
Do you think providing travel itenary is important?
IMO, your parents do not have reasons to prove that their stay will be only temporary (both for super visas or TRVs). Their ties to their home country are weak and/or cannot be substantiated through conclusive documentation.
You'll need to work really hard to put their applications together.
IMO, there are two strategies you may want to consider:
1. Apply for TRVs for both your parents within the next few weeks by proving they will visit NZ on their return to their home country + by submitting evidence of your cousin's wedding, or
2. Apply for a super visa/TRV only for your mom (after your parents have the rent agreement sorted, paid the rent through bank transfers, not by cash, for a few months) + indicating your dad as the family tie. Their pension renewal won't help as a tie because it's an annual procedure and recently done