Hy dear aspirant,

Neet is one of the toughest exam to crack and you have scored a very good marks of 578 neet 19. Your all india rank is good enough to fetch you a good government college in up and delhi both. 

As you have up domicile, you can apply for any government (only up)  college and will get selected according to your rank compared to others. You can also apply for both up and delhi both from all india quota counseling as 15% seats of state remains reserved in that. 

You can check out top up college and their cut off, fees in up state and apply in counseling as per your preference. You can check the list in(ranking given)-

https://medicine.careers360.com/colleges/ranking/top-government-medical-colleges-in-uttar-pradesh

You can even check out top delhi college under 15% all india quota and apply as per your preference. The list you can get here with ranking of college- 

https://medicine.careers360.com/colleges/ranking/top-government-medical-colleges-in-delhip

Good luck and chose your college wisely.