Ion Petroianu, VA3NOI
The microphone is polarized.
The switch you had received is connected between PTT line and GND and not in series with the microphone.
The microphone is connected between GND and Mic input. On the microphone capsule you can see that one of the pads is connected to the aluminum shell. That pad goes to GND, the other pad to Mic input.
When you press the switch you should hear the relays engage and see an increase in current consumption. When you speak the current consumption should increase.
Don't forget to have a dummy load or an antenna attached to the Ant connector.