You have got quite less marks in NEET for the govt. medical college criteria so you have less chances of getting the govt. college. The maximum rank for the J&K state quota seats is 58378 with the marks 427 in govt. dental college in srinagar and for medical college the marks are 440 in Sher e kashmir institute of medical sciences , soura srinagar. So according to your marks the chances are less but you can try in counselling rounds. A link is provided which will hwlp you to get the better idea about the counselling and cutoff marks.

https://medicine.careers360.com/articles/neet-cutoff-j-k