1. Yes, you can file such case u/s 156(3) crpc but not in dist judges' court but in CJM court.
2.Yes, these are non-cog offence.
3. No, he is not and that is why I asked you to file such case in Chief Judicial Magistrate's court.
I may add that after registration of FIR if the police still does not move much then you can file wirt petition in high court for ncessary direction against police ination.