Try to (gently) rock out one or two of the LED modules– if you can swap two of them, that should be able to confirm for you whether it’s the LED module or the board.
Since all of the segments are out, it would certainly suggest that it’s not the LED module or soldering at the joints there, but rather an issue with the “common” signal going to the whole LED block.
Make sure that your chips are fully seated. Check the soldering at the resistor packs, at U5, and at the transistors. Make sure that you don’t have one of those transistors backwards, too. If everything looks good there, double check the soldering at U1 and your LED socket.