If aN F.I.R. is lodged and signature is also taken on the F.I.R. register can he bedenied a copy of the same?

I went to lodge an F.I.R. at a police station in Delhi, my application was received and they started asking me strange questions. Since it was against the doctors of a local hospital for illegal detention, the threatened to detain me themselves saying that, they need to hand me over to somebody. Finally the registere the FIR and took my signature on it also but didn't give me a copy of the same. They said that they will investigate the case. They merely gave me a copy of my application. What are my rights? How can I claim the copy of the FIR from them. Can they withhold it on the pretext of investigation. They police seem to be hands in glove with the hospital Can comlainant interact directly with the public prosecutor and discuss his case. Does the FIR imply that the case will be automatically listed in a court? Please help.