Bihar

No, you can not get admission into the Netaji Subhas University of Technology or any government college.
For the Netaji Subhas University of Technology, you want to get within 2500 rank in JEE Main.
because the general cut-off for the B.Tech Artificial Intelligence is 2559 (for the general category) and the B.Tech Biotechnology cut-off for this college is 48870 (for the general category).
I hope this will help you.

Yes, you can pursue courses like M.Com / MBA ( finance) from Patna university. Also one can pursue banking courses from private institutes and distance courses in banking like Symbosis centre for distance learning.

NEET cutt off for this College is around 93-104. Admission is through NEET coubselling.

Admission will be on merit determined by the aggregate percentage marks obtained in Class 10th or 12th or graduation as per the course applied for.
Candidate will be selected based on the academic performance. Counselling committee will prepare a merit list of students
Best wishes

You can get seat in your state college only. You rank is a little bit low.

You have got 543 marks in your NEET. This is quite impressive, you must have work super hard to get there. And the answer of your question is Yes, you can get admission in Medical college. And here are the list of AIQ colleges from Bihar. Jawaharlal Nehru Medical College, Bhagalpur
Government Medical College, Bettiah
Vardhman Institute of Medical Sciences, Pawapuri, Nalanda
Anugrah Narayan Magadh Medical College, Gaya
Sri Krishna Medical College, Muzaffarpur.

The cutoff is not available on the official website of the college.

TNB Law College, Bhagalpur (Bihar) is a constituent unit of the Tilka Manjhi Bhagalpur University. The college is very old and has a well known name.

Process of getting admission for ANM at Bhagalpur Institute of Nursing is mostly the same as any other government colleges for nursing in Bihar. First and foremost the candidate should have appeared in last DCECE exam. His rank should be somewhere between 1174 - 7352. This rank is for candidates of 'General' category. Candidates whose rank lies in between can apply for counselling process via online. Category Rank
DQ ( disable quota) 232-403
SC Around 81
ST 947- 1619
BC 2684 - 3939
EBC 1729 - 2371
RCG 2847 - 3642
EWS 719 - 1374.