I got 62 marks in jee main August session shift 2 2021...obc ncl home state kerala ....what is my percentile....did I qualify for jee advanced....will I get any nit through joSAA or state counselling?

According to your marks, your predicted percentile will be near 85. That means your CRL rank will lie around 1,56,000 and category rank in the range 49,000-50,000. Generally the qualifying cutoff for obc category is around 74/75, you will definitely qualify for Jee Advanced. But it is difficult to get a good NIT or IIIT with this rank except some north eastern ones like NIT Silchar, NIT Mizoram, NIT Sikkim, etc.
Check out the link below to explore college options according to your percentile.

https://engineering.careers360.com/jee-main-college-predictor

Good Luck !