If it follows other tech trends(eg: cell phones bypassing land lines), India and other developing countries will see self-driving cars before freeways and owned cars. Well, I'm an optimist.
Cell phones bypassing land lines makes sense because you can cover more customers with less cost. Self-driving cars may eventually be less costly than human driven cars, but for the near future, the costs you add (sensors, software, actuators, etc) are way more expensive than the costs you save (driver's attention, optimistically damage to persons and property reduced through collision avoidance), particularly in developing countries where a person's attention has less monetary value, but the raw materials for the car have similar costs. It's unlikely that you'd get much of the ancillary benefits of usability by unlicensed drivers either -- few people will be able to afford a driverless car to cart their kid around to school or wherever, anyway those people could just hire a driver and a normal car.
Maybe. But I'm not sure it's as easy as putting things in a scale from more modern to less modern. The places where India has leapfrogged has been on stuff that needs new infrastructure development since there was never any good old infrastructure to take up resources or incumbent players to choke out new players.
Self driving cars don't need new infrastructure, its functionally an application that runs on existing infrastructure. If you have decent roads it'll work the same way whether you're in India or anywhere else.
Although I guess you could argue that Indians are less prissy about what they're willing to tolerate. A self-driving auto-rickshaw wouldn't fly in America, but it would be just fine for just about any Indian, and it's a much more useful application of self-driving tech than expecting everyone to have their own robo-chauffeured luxury cars.