I am not from Intel, but someone else here has reported that memory is not compatible. The three most common memory compatibility issues seem to be: not proper "density" memory chip (typically too many chips per side of the SO-DIMM), not 1.35v in the SPD info, and "too high" speed. Your problem is probably not that last one, but perhaps one or both of first/second.
Based on memory part number it seems to comply with the system requirements (http://www.ccbtechnology.com/_e/RAM_Modules/sproduct/1025753602/Corsair_Laptop_Memory_CMSO4GX3M1C1333C9_4GB_1333MHz_CL9_DDR3L_SODIMM.htm)
But it this is not under the tested peripherals for this specific NUC.
Here you can check the tested components for this NUC:
I recommend you testing another HDMI cable (better quality) or if possible another memory part.