Engineer

Yes, for sure there are & there will be vacancies for agriculture engineers in Rajasthan.

Hi,
The jobs in any country depends on two factors. First, their skill shortage demand and second is how good you are to a company, if recruited. So, you should get equipped with skills, innovations, network etc. and you will be placed well.

Yes, good enough for New Zealand. All the best.

Most of exames like BITSAT, JEE Mains, Manipal and those of another colleges are taken in the month of April, May or June and their application dates start in December.
Best of luck!

Check out the link for further details:
https://www.99entranceexam.in/list-of-engineering-entrance-exams-in-india-2016-17/

Some other engineering exams except JEE include VITEEE, AMUEE, UPSEE, GGSIPU etc.

Different engineering entrance exam has different eligibility criterion. It will be difficult to advice unless you specify your exact requirement . You may look at https://www.shiksha.com/engineering/exam for details of all engineering entrance examination options and their details.

Syllabus of IIT JEE and BITS is same but in BITS you have to prepare for English. Also, the level of BITS is higher than that of JEE Mains and 12th board but low in comparison to JEE Advanced. I think you should first focus on JEE Advanced so can you will be able to solve good quality questions and able to clear both BITS as well as JEE Advanced
Best of luck.