CBSE 12th

Yes, you may get admission.
According to your JEE Mains percentile, there may be chances of getting a seat in this college.

Please visit this link. This is a college predictor offered by Shiksha. I hope this will help you.
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes, you can see the following eligibility criteria. Bachelor of Business Administration or BBA is a 3-yearprofessional undergraduate course in Business Management, the minimum eligibility for which is class 12th from a recognised educational board with minimum score of 50%. The course is divided into six semesters and comprises variants like BMS, BBM and BBS. It can also be pursued through Correspondence/ Distant learning modes and admission to the same is based on entrance tests carried out by different colleges and universities.

Please visit this link. This is a college predictor offered by Shiksha. I hope this will help you.
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

It's a relatively new option career wise and studies wise, the course offers you great opportunity in the field of food technology, which is a fast rising industry.

Dear Ashi,
Congratulations for this. Your marks is good. However for maths honors in Hansraj you should wait for 3rd or 4th cutoff. As last year, the cutoff for Maths honors at Hansraj was 98% or 97% in the first list. But your chances are high that you may get.
Hope this helps.
Good Luck.

Yes, you have a really good shot of getting into this institution, you grades in both the exams looks good enough for you to get into the institute.

That would not be necessary. Diploma is allotted after you complete your 10th standard. Hence your 10th grade would be considered for your admission.