Karan, here is what Shaun and I have planned for your trip. :)
21st June - You will arrive in the morning and we will move around Auckland City. In the Evening, we will leave for Bay of Plenty
22nd June - We will spend half the day at Bay of Plenty, taking in the sights.. We will leave for Rotorua, that day itself.
23rd June - Rotorua - Waitomo Caves , Suplhur Pools (Hells Gate)
24th June - Taupo - Lake Taupo , Maori Culture Experience
25th - Palmerston North / Woodsville
26th/27th - Napier
28th - Palmerston North
29th - Wellington -
This is basically a rough idea of how things gonna look like. We have not taken into consideration, what you wanna see. so msg us where you wanna go around the north Island.