Maharashtra

Hello Lokesh,
Admission in MIT, Pune is done via JEE Mains and MHCET. JEE Mains cut-off tend to be around 140-150 and in MHCET, it is around 120 -130. So as per your rank, your chances for admission via JEE is negligible, but MIT, Pune have management quota seats also so you may look forward for that too.
All the best!

Please check out the college list below:
http://www.pune.ws/in/?list=colleges_institutes-mca-pune_university
And, college change or university change after the first year is completely dependent on college and university norms, some university allow it and some won't plus you need to have good scores in the first year to apply for the same. For further details contact the college authorities.

For private or distance, you may directly enroll with the institute of distance and open learning. Visit mu.ac.in and for regular, there are many check it on the university website.

Hello Akshay,
Government colleges in Maharashtra fill its seats via MHCET only. So, you need to apply this and score very well to get reputed colleges like COEP, VJTI, etc.
All the best.