Science

BE is 4 years degree course and B.Sc Is a 3 years degree course. With BE you will get engineering degree and you can get placed in top Industries if you complete it in top Tier I colleges or Universities. Whereas, B.Sc is for those who can't do BE programmes, as the eligibility is quite low or those who can't afford to pay high fee for BE, placement wise it would be quite less and have to pursue a Master degree to get better opportunities.

Talking about the branch EIE.
The faculties have a great experience in teaching, friendly, always ready to help.
We have proper labs for research and other projects.
The placements are also increasing and almost it went to 75% until now.

Use college predictor link to know about the college you can get: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Good luck.

Yes, your rank is good enough to get admission here. You can apply for admission you will get admission. Good luck.

Yes, you have to attend the classes because attendance is compulsory. You should have 75 percentage attendance to sit in the exams.
Good luck.

If you come under category, then there are chances that you can admission in DU. Otherwise, there is no chance of getting seat in DU. Good luck.

Yes, you can apply for this course.
Good luck.

Yes, you can apply for this course after class 12th.