Wow, impressed that they labeled the transformer pins on the board!
Yeah, if you're not getting 12V, it's because the diodes or filter chokes (the small colored axial components) are dead, or the filter caps need replacing (they don't look dead, but maybe worth a measure?), or because the load is wrong. This type of supply looks to be the sort that will happily allow you to brown out those outputs, they'll just go to whatever as long as the priority (+5V) output remains stable. If you aren't getting enough on the 12V outputs, try loading the 5V output as well (this will cause the supply to throttle up -- the underlying issue is cross-regulation), or just start over with a new supply that's rated for the load you're putting on it.
(The opposite is true of cross-regulation as well, if the 5V is heavily loaded and 12V lightly, it will end up quite a bit higher, maybe 15 or 18V even.)
Tim