Tata Nano CX BS 4 problems

The question is about the Indian Car Tata Nano CX BSF 4. Even when I drive more than 30kms, the engine coolant temperature does not blink, or raise an alarm or slow down the vehicle as it should. How to Check whether the whole circuit

is faulty. The important problem is as follows:After I run the vehicle without the Engine Temp Gauge blinking etc., and stop the vehicle somewhere and come back to start the car, there will be only a click, no cranking, no start. If I leave the

car for a few hours and go back to it, it starts OK without any problems!! Did it fail to start because engine had overheated and cooled during the gap period? Why the Temp gauge did not blink, or raise an alarm or slow down the vehicle as
it is meant to do? Or is it because of some other problem -like components expanding, contracting and produce loose contact somewhere? If it is loose contact, how did it restore itself when the car had just stood there for a few hours?