Hello, 

As you have mentioned that your neet score is 360 marks which indeed is very less to get into ST. Johs medical college.

Last year 498 marks secured a seat in st johns medical college under 85 % state quota seats and sc category.

So, your chances are almost negligible to get into the college. 

For furthermore information please go through the link given below to predict the colleges you may get with your desired marks :

https://medicine.careers360.com/neet-college-predictor

I hope this would help you. For further queries please feel free to write me down in the comment box.