CAT

Hi,
You can fill the application form for CAT exam once it is open. Registration generally starts in the month of August and goes on for almost for a month. You can just Google it and get it filled online once the form is released.
Hope it helps.

I think you should join any coaching institute that has good material for reference, opt for test series and analyses your mocks on regular basis. It is better, if you make a planned chart for your preparation. All the exams have different difficulty level as CAT and XAT are on a higher side, whereas MAT and CMAT can be easily attempted after giving some extra efforts on general awareness.

With such a percentile, you can look for Balaji Institute Of Modern Management, as it's ROI and placements are quite decent. It cost you around INR 8,00,000 and average package is INR 6.5 lacs, which is good as per standards.

You need to clear your backlog first.

Dear, I think it is very difficult to tell, whether you will get call or not, as the standards are getting higher every year. Also, with the score you have till now is very good, and this shows you are good at studies, so why are asking for minimum, you should try to bring the maximum.

There is no maximum eligibility criteria for CAT. The least you need is Bachelor's degree with 50% aggregate marks.

Graduation is required that is it, honors or not does not matter. All you need is good academic score and a high percentile in the entrance.