Pune

Hello Abhishek,
I think there is only one college in Pune offering this branch. However, to help you, I am attaching a link that will give you all the required information about different aspects of the colleges in Maharashtra offering this branch for studies. https://www.shiksha.com/b-tech/colleges

Pune doesn't have any IIT college.

According to your JEE Mains Rank, there may be chances of getting a seat in COEP, Pune.

Well, as per my information the last date for filling college form are already over. So, for that you have to call to the college.
And yes, with this percentage there are chances of you getting BIMM if you perform good in admission process rounds.

If you had biotechnology as a background, then you can go for it. But, it is not as such high ranking college as such for MBA is concerned.

While filling exam form, you have to select exam location.

MIT and VIT are the best colleges for CSE as they have good reputation and the faculty is very good.

PUMBA will be better any time. Reasons are Government College, good faculty, best placement, amazing campus and best ROI (less fee). Lots of brands visit to recruit students.