Hey there, you have scored 7444 ranks in UP State in NEET and you also belong to SC Category. Really that will be very helpful to you while taking admission in Government College as some special seats are being reserved for each and every special reserved category. Sorry to say but at this rank even in SC  Category you will not be able to get admission in any government college as your marks are quite low for that. 

I would rather suggest you check the colleges available for you at these marks at College Predictor at Careers 360 only and it will be very helpful for you while getting a seat there. It will be very helpful for you as it will show the best colleges available for you according to your category and even home state rank.

https://medicine.careers360.com/neet-college-predictor?icn=neet-clgpd_landing-page&ici=prediction-section_c360-home