I did a 7 day tour of the south island taking in Christchurch, Dunedin, Te Anau, Milford Sound, Queenstown,Fox Glacier & then back to Christchurch on the TransAlpine express.
Tour did have a few pensioners but there are other ones done by Contiki etc.
Look up some of their itineraries & it will give you an idea of what you can do yourself in a week. Like previous poster said some of the roads are very mountainous & some of the places - Milford Sound, I think - involved having to totally retrace your steps to go to the main road again.
Our tour went more or less straight down the east side around the bottom & up the west side & then TA straight across back to Christchurch.
The one thing I did miss was Kaikora. Hard to do everything though !
It's a fabulous country.