Science

No, hansraj is one of the best colleges of DU, they generally close their cut off for 93-94%. I don't think you'll be able to get admission in it.

There are total 22 seats for B.Sc. in Statistics at Ravenshaw University.
For admission in this college the minimum eligibility criteria is that candidate must have scored a minimum of 50%marks in 10+2 examination with Mathematics as the optional subject.
You have got a really good percentage so there

You need to Pass with a Bachelor's degree in Home Science or Nutrition or Dietetics or Food Science or Biology or Microbiology or Clinical Biochemistry or Life Sciences or BNYS or BAMS or PG Diploma in Dietetics from a recognized University, with a minimum of 60 % aggregate marks or equivalent.

IIT Jammu material Science is more better option than NIT Agartala mechanical engineering. Best of luck.

B.Sc. Hons Home Science in Du is a good option. Candidates have the opportunity to pursue teaching jobs in both private as well as government sectors. They are skilled to work in industries related to food products, cooking, garments and other such.

You can check the given link below for detailed information regarding college specifically told and tagged by you.
https://www.shiksha.com/university/bharathiar-university-Coimbatore-1475.

No, you need your B.Sc marks to be valid enough and cutoff board marks to get admission. If you have a science background, then it is good but not necessary.

To become a skilled person and to kick-start your career in this field, you need a solid education background. Following is the list of good universities for agriculture education: -Lovely Professional University, PunjabUniversity of Horticultural Sciences, BagalkotKamdhenu UniversityMPUAT Udaipur.

Yes, you can have this regular degree studied in a college in Andhra Pradesh. Many colleges are there. Check Shiksha's college predictor.

The level of mathematics is a bit high in the first second, and third semester as after that you won't have mathematics. Whatever you read in class 11th and class 12th is there as syllabus but the standard is 2 steps higher.