Banaras Hindu University Eligibility

The candidates having passed one year certificate course in Sanskrit of BHU after passing 10+2 examination with 50% marks in aggregate both in 10+2 examination and certificate examination are also eligible. MINIMUM ELIGIBILITY REQUIREMENTS: A candidate shall be eligible for admission to B.Sc.

You may check the below link for courses and eligibility.
https://www.shiksha.com/university/bhu-banaras-hindu-university-varanasi-23336

Admission in M.Sc food science and technology is through entrance exam i.e. BHUT PET.
For more details, click in the link given below
https://www.shiksha.com/science/course/m-sc-in-food-science-and-technology-banaras-hindu-university-varanasi-272597

No, problem with that with your class 10th, they will consider your admission. All the very best.

You need to pass out the entrance examination I. e. UET for graduation and PET for post graduation.

You have a good score and you can get admission in B.Sc agriculture. Usually, the cut off is above 220 but you can get seats in second or third round of counselling, so attend all the sessions to know the result.

yes you will get admission.

yes you can do MA history.