Diploma

Three years Engineering Diploma courses like Mechanical, Electrical, Electronics, Computer engineering, Civil etc. Are the best options. These Diploma courses can be pursue on the basis of 10th class. So you can choose anyone of the Diploma course as per your interest.

Hello Sangeeta, it is very nice to SEE your intention to join the teaching profession after you have completed your graduation in engineering. If you are interested in teaching in college then you need to have post graduation as a minimum standard of education. Hence I would recommend that you go in for PG for or having a successful career in teaching in college, before taking up graduation in education. Best wishes to you.

AMIE and B.Tech regular part time are the best options for up gradation of qualifications. Anyone course can be done along with the job. However AICTE approved Part time regular B.Tech colleges are very less in India.

The following courses can be the good options after Diploma in Automobile Engineering.
1. B. Des. Course (Product design, Fashion design, Transport design, Leather Design, Knitwear design, Graphic design, Furniture and Interior design) of NID and NIFT.
2. BCA (Lateral admission)
3. B.Sc. IT (Lateral admission). .

It's better to do Diploma.

You have not written about the college, However Diploma in Automobile Engineering students are eligible for B.Tech lateral admission in Mechanical Engineering. The name of few colleges are given below.
1. LPU Phagwara
2. Chandigarh University
3. TIET Patiala.

Yes. He can apply for lateral entry. My college used to offer lateral entry when was affiliated with BITS, Pilani after coming under control of IMU I don't know. You may call TOLANI MARITIME INSTITUTE and ask them directly.