Hello aspirant 

Yes ,with 386 marks in NEET under sc category and state quota ,you have higher chances of getting a medical seat in government medical college.

If we consider last year's cutoff ,the colleges you have chances of getting into are mentioned below-

• Govt. medical college,ambedkarnagar-382 maks
  
• Govt.Medical College,Kannauj-377 marks
  
• Govt. Medical college,jalaun-372 marks
  
• Govt. medical college,saharanpur-374 marks
  
• Govt.allopathic medical college-373 marks
  

Also this year, there is increase in 4,500 medical seats .

I hope this information proves helpful to you.

All the best