Hi

Amrita has only 30% seats reserved for jee mains candidates, a rank of 5k in jee mains is a great rank and to get CSE in amrita in any campus you need a percentile above 97. A rank of 5k means your percentile is almost around 99.4 to 99.6 so you have a great chance.

Moreover you can also give AEEE and to get CSE in amrita, get a score above 150 out of 180 to secure a seat in amrita. Based on your JEE mains rank, you have a great opportunity.

Best of luck

Hope this helps