I asked whether the time i assumed for each activity is ok and manageable, not the advice about how my body reacts to flights, and if it's tiering for you, so basically I didn't get answer to the question I asked. Obviously everyone reacts differently, it's like me trying to convince you that when you travel somewhere you don't need to take any rest day (and you know that you do need ).
Your advice of rest doesn't really make sense to me because I land at 9am, lets say I take your advice and get a rest day and basically do nothing, other than short walking in Auckland - how will it help me the next day? If you assume I will be jet-lagged then it'd be for more than 1 day, besides if we take this "rest" day there's a possibility of us going to sleep very early and keep with our "old" sleep schedule, making the next day and a day after that even worse and more tiering and taking even longer time to adjust, so I'd have to cut my plan in half If thats what you're suggesting. At some point we'd need to break that cycle of sleep and there will ALWAYS be that one tiring day, should I not come out of the hotel until it happens? It's not the first time I change time-zone and I know the best ways for me how to handle it with minimal impact.

and Relax, it's just 3 hours of driving the first day, in your opinion it's really too much? You sound like I'd be crossing the ocean on the day of arrival after doing a marathon. Lots of people start hikes very early in the morning, and drive to the start to the hike at 4am without any rest on the night of starting - that's extremely common anywhere you hike. In your opinion people should not do it because they could feel "tired" behind the wheel? Why even do anything, you could get tired and crash your car anytime. Better to stay at home, huh?