MAT

For doing MBA or PGDM from well renowned institutes you have to give entrance exams.
It may be CAT, NMAT, SNAP, XAT or MAT. Without giving entrance exams you won't be allowed to go in good institutes.

You should try for Symbiosis or SP Jain for best results.

Please confirm once with college if MAT score is accepted.

No, as per the criteria, academics should be 60%+ throughout.

You stand a chance for sure. You have not mentioned about your CAT score, which may also be a requisite.
All the best.

As per the criteria, your academics should be 60%+.

Without CAT/MAT scores you will not be admitted to the MBA programme. Kindly attempt these tests and then apply.
All the best.

Do you have a CAT/XAT score also? If you have a decent CAT/XAT score also, I am positive about your admission to ASB. I am afraid the admissions for the current year has been closed. Please contact the admissions department right away.

I assume you mean to say that you got 58.8 percentile in MAT. In order to get into XLRI, you need to give XAT. Upon receiving the call from XLRI, you will have to clear the GD and PI rounds. The cumulative scores of XAT and GD-PI will be taken into account for the admission in XLRI.