They seem ok to me, and they look like some logic with an eightfold pullup or pulldown.
I would start troubleshooting by disconnecting the psu from the rest of the device if possible (check whether the device gives a power on signal to teh psu) to determine where if the problem is in the logic board or the psu.
If psu, then start by checking the rectifier diodes on the secondary, then the switching transistors on the primary. More pictures of the psu from both sides of the pcb will be a big help in determining the topology of the supply and what could go wrong. It looks like it might have active pfc, which would complicate things a bit more.
Do any measurements with the supply pulled out from the wall socket, and make sure the two main storage caps on the primary are discharged before you do anything!