You will need new tyres along with a wheel alignment - if your shocks are dodgy, then it's possible that just driving the car can "knock" the wheels back out of alignment.
(Driving up and down curbs are that good for wheel alignments)
Following on from that, damage / loose tierods etc. will contribute to the alignment.
That and that most NZ roads (should) have a left hand leaning camber (I think that's right terminology?) - meaning the road is highest in the middle and lowest in the left (curb/drains).