Colleges in Pune

You can refer the following link for the detailed information about the admission procedure at Government Polytechnic Pune.
https://www.shiksha.com/college/government-polytechnic-pune-shivaji-nagar-4235/admission
For the information about direct admission in second year you need to visit government Polytechnic. They will tell you whether they give admissions directly in second year or not. If yes, they will tell you the procedure for the same.

You can refer the following links, these links will give you a detailed information about the admission process, eligibility criteria, fees structure etc. So you can check the eligibility criteria of both the colleges that can help you in finding out your chances of getting both the colleges. https://www.shiksha.com/college/coep-college-of-engineering-Pune-shivaji-Nagar-28324
https://www.shiksha.com/college/vjti-Mumbai-veermata-jijabai-technological-institute-matunga-east-19301

You can use the college predictor tool to know in which college you can get admission. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

You can get admission for MBA in D Y Patil College.

I think, there is no possible option for getting MCA lateral entry. All the best.

Please refer to the given link below:-
https://www.shiksha.com/b-tech/course/b-tech-lateral-entry-college-of-engineering-Pune-shivaji-Nagar-204728.

Hi,
To be frank, it would be difficult for you to get Computer Engineering in VIT-Pune with this score. Still, you can apply and wait till the last round results are announced.
I hope this helps.
All the Best.