India

No, you cannot get admission in government college because for SC category, you have to have rank between 137.108, then you are eligible to take admission in government college of MBBS.

A list of colleges in Kerala that offers online Psychology postgraduate (PG) courses.
1- Rajagiri College of Social Sciences Cochin, Kerala.
2- Farook College, Kozhikode.
3- St. Josephs College, Devagiri.
4- Fatima Mata National College, Kollam Kerala.
5- Mahatma Gandhi University, Kottayam, Kerala.

Yes you can do according to particular colleges and university curriculum.

The following coaching Institute in Delhi can meet your requirements.
1. Chanakya IAS Academy, North Delhi Branch
G. T. B. Nagar Metro Station GATE No 2, New Delhi.

As per my Understanding top colleges/ University for CSE are
BITS Pilani, ICT Mumbai, Mumbai. VIT Vellore, Vellore. Thapar Institute of Engineering and Technology - [TIET], Patiala. ITER Bhubaneswar, Bhubaneswar. LDCE Ahmedabad - LD College of Engineering. Geeta University, Panipat
MSRIT Bangalore -

According to the information, you may get these MBBS colleges in Karnataka. A list of government or private colleges is
1- The Oxford Medical College Hospital and Research Center.
2- JSS Academy of Higher Education and Research.
3- Khaja Bandanawaz University.
4- Gulbarga Institute of Medical Science

If you're looking inside Maharashtra I will suggest NDMVP's college at Nashik, Poona college of Pharmacy, MET bhujbal knowledge city Nashik, ect.

Yes, a Pondicherry resident can apply for management quota seat in Tamil Nadu college through Tamil Nadu state counselling

As compared to South india there are few best private colleges in north India like Lovely Professional University Punjab, Shoolini University Himachal, Chandigarh university, integral University Lucknow and SGT University Delhi.

There are many best private college in indian capital like, sgt university, iimr Delhi.