You’re in luck here, Tony, because both the petrol and diesel engines fitted to this generation of the i30 used timing chains rather than rubber toothed timing belts. As such, the chain should be good for the life of the engine, rather than requiring scheduled replacement like a timing belt.

For the record, most manufacturers say a rubber timing-belt should be changed (roughly) at 100,000km or 10-year intervals. That said, some carmakers recommend much shorter intervals, so it’s worth knowing this stuff. A failed timing belt will often destroy the rest of the engine, but so can a timing chain if it fails. It’s just that a chain is much less likely to fail in service.

This sounds awfully like a sensor problem of some sort. Electronic sensors really do control every aspect of a modern car, from the engine to the dashboard and everything in between. So, it’s conceivable that your problem is the fault of a single sensor that is throwing multiple things out of kilter and causing the problems.

But why the engine and dashboard at the same time? Because a car’s computer will often take its cues from a variety of sources. Without a properly functioning dashboard (and the information on road-speed the speedometer supplies to the computer) some engines won’t even run at all. The rough running and hard starting could be another symptom of this.

But don’t rule out something simple like a battery or charging system that is not pulling its weight. Low battery voltage can do strange and random things to a modern, electronically-controlled car.

On the surface it does seem unreasonable that the new transmission is not covered by the warranty. I would press Hyundai for an explanation of the problem, and an answer as to why the replacement transmission isn’t covered. If that doesn’t get a satisfactory response I would contact the Consumer Affairs people in Victoria and enlist their help.