Hey there

If you score 620/720, then it is indeed a very good score. You can easily get an admission in the government medical college in Kerala, Since you will score this well, your category will also not be a problem.

To get information about the cut off of government colleges and eligibility criteria, kindly check the link mentioned below

https://medicine.careers360.com/articles/neet-cutoff-kerala

Hope this was helpful

Thanks