Mechanical Engineering

Please visit this site first
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwjd0NzModzhAhUZfSsKHfLtA6UQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

Please visit this site first
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwjd0NzModzhAhUZfSsKHfLtA6UQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

Yes, according to your JEE Mains April 2019 marks there may be chances of getting any NIT college for mechanical engineering branch.
It is four years course.

Hello
Yes!
If you are interested in pursuing Agribusiness Management at IIM, you can apply for that, after completing B.Tech! IIMs Agribusiness Management is two years programme.

The eligibility for B.Tech mechanical is you need to have 45% with Physics, Mathematics, English, Chemistry/ Biochemistry/ Biology as mandatory subjects.
Also, you need to appear for WBJEE or JEE Mains.

Every courses are good at their respective places. It is you who has to introspect yourself in which field, you want to make career and if we compare both mechanical and CSE then I would suggest you to go with CSE rather than mechanical because with every business and organisation going digital, IT sector today is a booming field as compared to other sectors and there is a huge demand of computer Science engineers and programmers.

Lateral entry admission depends on the college and course you choose. It differs from college to college and course to course.

Hello dear,
It is interesting to knowing that you want to take admission in IIT in core branches. For safe stand, you have to score 250+ marks in JEE advance for any branches it is according to previous year record. Best guidance and regular hard work will make it very easy.
Best regards dear.

Yes, you can do every college have such kind if facilities and program.
Colleges have dedicated societies for such activities.
So, don't worry about this. Go and take admission there

Yes dear. You will get admission there if they are providing lateral entry. Although you scored a good percentage. Kindly visit their official website.