According to the manual (https://www.intel.com/content/dam/support/us/en/documents/boardsandkits/desktop-boards/G41/DG41RQ/DG41RQ_ProductGuide01.pdf),
there's no error code that goes as two beeps (see page 61).
Considering how old the hardware is, and the parts you seem to have bought already, before buying anything else i would take the board to a store where they can test with discrete gpus and other available parts to see what's wrong with it. I wouldn't buy anything new for it. It may cost a little to have it diagnosed, but not more than new parts that may or may not help.