Hi, 

562 is a nice score and your rank too is pretty fine. But which college you will get can be only predicted during the counselling procedure. Don't worry much. Your score is fine and I am sure you will get a good college. For now you can check different college's cut off from last and yes!  They surely will increase like this year's rank and scores. Hope for the Best. 

Good Luck! 

Hey,

you have chances of getting in a lot of government colleges of West Bengal. Some of them are-Nilratan Sircar Medical College, Kolkata, Calcutta National Medical College, Kolkata, RG Kar Medical College, Kolkata, ESIC Medical College, Joka, Kolkata, North Bengal Medical College, Darjeeling. For complete list of colleges use college predictor tool-

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