CUSAT

Yes, you have to submit both the score cards.

Yes, you can get shortlisted for GD, CUSAT is a scholarship test and you can participate here. The eligibility criteria is 50% aggregate marks in Bachelor degree in any discipline.

http://sms.cusat.ac.in/admission.php
Actually, the cutoff of CUSAT is decided by the individual scores of the candidates. They take all the scores, convert it into a normalised score and then decide the cutoff. So each year it will be different. My suggestion is to apply online and see the results. If they shortlist you make sure that you do well in the GD PI session. You can find the details regarding the admission in the above link.
All the best.

You are eligible. You have to appear for any entrance exam like GATE and can apply in any institute upon your score.

Actually, you do have a chance to get in. They have all easy started inviting applicants. The admission process is now open. Of course students who score more than you will have a better chance. But still they will call you for the interview. Just visit their website and fill up the application form.

There is a good chance, as you have a pretty good percentile in CMAT as well as KMAT.

Please mention the course you want to pursue for better assistance
Follow the link below for details :
https://www.shiksha.com/university/cochin-university-of-science-and-technology-Kochi-28013.