The best options for you are the Maruti Suzuki Ignis and the Hyundai Grand i10 Nios.
Both cars are compact and simple to handle, which makes them easy to park in tight spots and suitable for a new driver. These models are well within your budget and known for low running and maintenance costs. They will deliver good fuel efficiency for your short daily runs within Kochi and occasional longer trips of around 80 km.
The Ignis is shorter in length and fits your parking requirement comfortably. It also has a peppy petrol engine and a comfortable ride quality. The Grand i10 Nios is slightly longer than 3.8 metres, but it feels more premium on the inside and offers a refined cabin.