Jetconnect dont offer an EBA, they work either under a collective agreement or individual contract. The collective agreement is governed by FARSA (the nz union).
If I were you, and you didnt mind leaving Australia I would take Jetconnect, nothing beats being a full service FA, you will get more overnights and better layovers and HELLO! you will have cleaners come and clean your aircraft after your 10 hour HNL!!
Leane7 can probably offer you better advice as she is LH, I work for Jetconnect SH.
Good Luck!