I have found the problem.
-The fact the "Emitted Radiation" did not line up with the expected blackbody radiation from theory was due to a mesh that was too coarse. Refining the mesh led to an "Emitted Radiation" much more in line with what theory tells.
-The strange nonzero "Reflected Radiation" was greatly diminished once I refined the radiosity solver tolerance. Going from 0,1 to 0,001 W/m² allowed for the "Reflected Radiation" value to decrease by two orders of magnitude.
All is good as far as I am concerned.