Engineering Entrance Exam

Yes, you can get the following Engineering branches in MNIT Jaipur under HS quota in neutral gender:
1. Civil
2. Mechanical
3. Chemical
4. MME.

The JET syllabus for B.Tech courses comprises the Mathematics, Physics, Chemistry, Aptitude & Logical Reasoning and English. The syllabus covered in 14 pages, hence can not be described here due to page restrictions.

Yes, JEE Main and EAMCET preparation will be helpful in ICAR AIEEA UG for B.Sc. (Hons) Agriculture, because subjects to be attempted in the ICAR entrance exam are PCM.

If you are below 18.5 years, then you are eligible to give the exam because on the day of joining NDA you should be less than 19.5 years.

Your JEE Main score is enough for JEE Advanced qualification. Hence, in my opinion you have to completely focus on JEE Main Advanced because the Preparation of JEE Main can be confused and can divert from the original goal. Time which will you spent in preparation of JEE Main can be utilize in JEE Advanced this will definitely helps in achieving the main goal. So, give your full efforts to JEE Advanced. Best of luck.