Aeronautical Engineering

What do you mean by AME? Please specify the full name then I will give you exact answers for your question, before your exact questions I am unable to give you any information.

You may refer to following link for list of colleges offering B.Tech aeronautical engineering in Mangalore:
https://www.shiksha.com/b-tech/colleges/b-tech-in-aeronautical-engineering-colleges-mangalore

To pursue aeronautical engineering from any college in India, there are different criteria for different colleges, so you tell me which entrance eligibility criteria and which college's criteria you want to know then I'll answer you with the exact information.

There are colleges like Jain University and DSCE(Dayanand Sagar College of Engineering). These two are top in Bangalore and good recruitment depends on the market of aerospace and aeronautical branch at present. This field doesn't have much scope but 4-5 years later it'll be having a good scope in India.

Dear Diya,
These days there is a great career prospect for merchant navy. If you are interested, you may proceed to join merchant navy for brighter future.

Hello Neha,
As you said about management quota then these details are kept hidden by the college so you must contact the college for further details or you may contact the admission brokers who give admission.

You may refer to the following link for a list of top aeronautical engineering colleges in India: https://www.shiksha.com/b-tech/ranking/top-aeronautical-engineering-colleges-in-india/49-2-0-0-0

These are top aeronautical colleges in India:
Indian Institute of Science (IISc), Bangalore.
Indian Institute of Technology, Bombay (IIT), Mumbai.
Indian Institute of Technology, Kanpur (IIT), Kanpur.
Indian Institute of Technology, Madras (IIT), Chennai.

Yes, you can apply for aeronautical engineering.
Check the cuttoffs of the particular Institute in which you are looking for from its official website.

The Commerical pilot is a good high paying career but you can have a good career as an aeronautical engineer also. It is your choice what you want to do.