I scored 504 in neet with AIR 83584, SC category rank 3365..Rajasthan domilice... will i get government medical college

Hi , as per the marks you have mentioned last year least marks to secure a seat in government medical college from your category under state quota was 461 marks in government medical college barmer  . So according to that you have fair chances of getting a seat. Talking of which remember that cutoff varies every year depending on number of students appearing in exam, difficulty level of exam, students scoring more than you and your category.
To predict your college click here
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
Hope this helps