Q2. Can a person without a driving licence register a car in his/her name?

Registration of a motor vehicle conveys the right of a vehicle to be driven on a road. It confirms ownership of a vehicle. But the owner does not have to drive the vehicle. The owner does not even need a driving licence in order to have a vehicle registered under his/her/its name. One obvious example is: a vehicle can be registered under the name of a company (i.e. the company owns the vehicle) even though a company cannot possibly drive a vehicle or have a driving licence.

Therefore, yes, a person without a driving licence can have a car registered under his/her name.