IIM

There are a lot of good MBA colleges in India some of the colleges have more rating than some IIMs. Colleges like IIFT-Delhi, Jamanalal Bajaj-Mumbai, XLRI-Jamshedpur, IIFT-Mumbai, ISB-Hyderabad, and many more. Do check the list of top MBA colleges in India on Shiksha.com, you will get a good quality of information from Shiksha. Their rating scheme is good and they mainly focus on placements.

Yes, because yours is the government approved degree and you have all the things required for MBA. IIM require good marks in CAT for eligibility if you can score those marks then you will be called directly. So don't stick with the stigma if you have any and start studying.

Yes, you can apply for Ph.D after completing your PGDM. But it's always better to go for a full-time course if you are not an entrepreneur and have a lot of free time. You get to learn much.

No course. But, you should prepare for the CAT exam which is required to get admission in all the IIMs.

The CAT cut-off at Ahmadabad is always around 99.5 pr.

What is your CAT score?

Clear the CAT exam with higher score and Crack GDPI you will get IIM. Apart from Iims, institutes like ISB, XLRI, SP Jain, JBIMS, FMS Delhi, MDI Gurgaon offers management courses with similar exposure as IIMs.

You have to crack entrance exam to get into IIM.

Hi, You can refer the link for Iims CAT cutoff:
https://www.shiksha.com/mba/articles/how-much-cat-score-do-you-need-to-make-it-to-these-iims-blogId-13415.