At one point he overtook two vehicles, causing one to pull over to the side of the road, said police prosecutor Sergeant Rachel Willemsen.
Nahona lost control on one of the bends but recovered, and as a result, his front left tyre blew out.
The vehicle started "blowing smoke" and Nahona stopped a short while later.
He told police he failed to stop because the car didn't belong to him and he did not want it impounded.
Defence lawyer Anna Brosnahan said Nahona was remorseful, and that he hadn't been in court before on driving matters. "Obviously he needs to learn to stop when police tell him to stop," Ms Brosnahan said, adding Nahona was "putting lives at risk driving in this manner."
Judge Dugald Matheson said it was "appalling" driving.
"Your responsibility as an uncle was to keep them safe," Judge Matheson said.
"The fact that you continued to drive after a tyre blew out made the speed even more unsafe.
"We are fortunate today that we're not dealing with someone that was maimed or killed," he said.
He sentenced Nahona to 120 hours community work and 12 months disqualification from driving for the dangerous driving charge, and gave him a further three months disqualification start February 18 next year for the failing to stop charge.
This gave Nahona a total of 15 months disqualification, which Judge Matheson said was "going light".
He convicted and discharged Nahona on the driving while disqualified matter.