Bihar

Yes, you have chance to get admission in Delhi Technical University. For more information regarding admission process visit Delhi Technical University.

You can go for counseling till last round and you may get a lower branch there. Check your possibilities of getting a college here: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes take NIT Patna for CSE it is a good option or go for NIT Durgapur or Roorkee or Rourkela as these are more good option and near from your state. However, you can study in NIT Patna with CSE no issues. It is good with placements.

Hello Abhijeet,
You may use the college predictor tool for JEE Mains from the link below to know your chances of getting a seat :
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Please refer to the link below to know your expected colleges:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Yes, you can take admission in Marwari College.

Hi,
Please visit Shiksha. Com's college predictor
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor. Ranks keeps on changing every year and differs from one branch to another and one college to another. If you fulfill the eligibility criteria of the specific institute you may complete further admission formalities. For now, I would suggest you to first contact the institute officials of the shortlisted universities directly for specific eligibility criteria details.