Colleges in Bihar

Yes, Patna University does offer BCA (Bachelor of Computer Applications) course. You can visit the official website of Patna University or contact the university's admission office for more information on the admission process, eligibility criteria, and fee structure for the BCA course.

You have to give PUCET entrance exam and cutoff usually varies from 75-85 for general category. It may vary for other categories.

Here are a few law colleges that you can consider:
Jharkhand:
Ranchi University, Ranchi
Vinoba Have University, Hazaribagh
Central University of Jharkhand, Ranchi
Kolhan University, Chaibasa
Bihar:
Patna University, Patna
Chanakya National Law University, Patna
Nalanda University, Rajgir
Tilka Manjhi Bhagalpur University, Bhagalpur
Kolkata:
University of Calcutta, Kolkata
Jogesh Chandra Chaudhuri Law College, Kolkata
Dr. Ambedkar government. Law College, Kolkata
South Calcutta Law College, Kolkata.

The fee structure is not published online and nor available in any videos and sight so I feel sorry that I haven't answered your question

It is around Rs. 50,000.

Admission is through BCECE & DCECE exam conducted by BCECE Board only. For more information you can check Shiksha. Com website.

Yes, With the score you mentioned, I expect that you should get the college in the first round itself. Tha.

Bihar health department conducts the counselling for the particular course and you can get the admission from them.