Its fine to have a car with 3-4 month old VIN, only thing is that it should be of same calendar year. Just ensure that you buy face-lifted version of Amaze.
Sir its 2016 manufactured vehicle. Not able to find which month because its 17 digit VIN instead of 19 digits.
The last two viz. 18th and 19th digits will be available on the car. Move the driver's seat fully back. On the projection in the floor under the seat, there will be a carpet flap. Open the flap and the VIN no. can be found on the chassis. The 19th digit is the month of manufacture while the 10th is the year.
You VIN says March 2016. The manufacturing date for tyres is 5th and 7th week of 2016 for front and rear respectively, means around end Jan-early Feb 2016, which is fine as tyres are manufactured as a batch at a time and used for the next few months as well.