Unfortunately, without having access to the manufacturer's diagrams one cannot say which pins they are using. Instead of attempting to send 12VDC and use data pairs I suggest checking your connections to 568B and getting an RJ45 tester, you may get a link light but one f the RX pairs may not be crimped completely or in the wrong pin. You can also test the camera at the recorder or poe source and seeing if its in fact the cable and not the camera.
Best of luck.