Dear Sir,
Please forget the worries about including sections of IPC or CrPC. If the offences are non-cognizable, the police officer cannot arrest without a warrant from the Magistrate. Directing the police to investigate the case is the discretion of Magistrate. You need not state a prayer by including a particular section, rather you should not(in my opinion), since it is his discretion. He may either take your statements on oath and order you to produce any witness and thus do a court inquiry or send the complaint to the police for investigation under Section 156(3) of CrPC. As per 155(2) CrPC, no police officer can investigate a case of non-cognizable offence without the order of Magistrate. Here if the Magistrate has sent the complaint to police without taking your statement on oath, then the police has got the direction to investigate the matter as they do in any cognizable case. They have to file a final report arraying all accused and witness and recover anything related to the case. Only difference is that they cannot arrest the accused without a warrant. So they will seek an arrest order from the magistrate during investigation if they want to arrest the accused for the purpose of investigation.
A link is provided herewith which is worth reading. Thank You.
https://senseoflaw.blogspot.in/2017/12/sections-155-and-156-crpc-differences.html
https://senseoflaw.blogspot.in/2017/12/power-of-magistrate-directing-investigation-difference-156-202-CrPC.html