Check your channels on both transmitter and receiver. I know the Black Pearl has 8ch and 32 ch model. Make sure the transmitter channel match the rec channel.
ALso, do you have mini IOSD?? If you are getting telemetry and black screen then try the powering on process. Try powering on gopro first then phantom. If that fails, try phantom then gopro.
There is 2 versions of the H33D.
Is the H33D using a 30pin rear port mount or is it using the side USB micro for FPV + charging?
The Hero 4 wont work with the 30pin rear port (unless you do a simple hack).
Another could be the newer firmwares blocking the FPV when a charging is detected.
With the GoPro 3 cameras newest, which is old, software v3.0 will block video from the USB port on the camera but there are no problems with upgrading the Hero 4 firmware that just came out this past August.
If you have downloaded v3.0 on your GoPro 3 it can be rolled back to v2.0.