It sounds like the transmission has broken something internally. It could be that the clutch assembly is smashed, or the input or output shafts have snapped. It could even be the actual gearsets that have failed, leaving you with no mechanical connection between the engine and the gearbox.

Either way, it sounds like it needs a new clutch and/or gearbox which may be more than the market value of the car. That said, wrecking yards are full of Hyundai Getzes, so a second-hand, tested transmission might save the day.

It could be a single oil leak that is showing up in more than one place. The first place to check would be the rocker cover gasket which are prone to leaks (not just on Hyundais). If this has failed, oil could be leaking along the edge of the rocker cover and on to the gearbox, while the same leak could appear as though it’s coming from the spark plug socket (as well as a variety of other places).

The best way to find the location of an oil leak, is usually to clean the engine thoroughly, removing all the build-up oil, grease and dirt. Allow the engine to dry and then take the car for a drive. By continually checking the engine over the next few days you might be able to spot the source when the oil leak reappears.

Performing a DIY Hyundai Getz engine oil change at home is a great way to save money and protect your engine. The process is not too involved, but you need to get it right. Perhaps you can enlist the help of a mechanic or somebody who knows how to change oil on your Hyundai Getz the first time to avoid any oversights.