Now it is time to try to fix it, because it was making whining noise and was a bit unreliable as WLAN base station.
So it looks like it is time to fix by replacing bad looking electrolytic capacitors because they have limited lifetime and because most common reasons that modern digital electronics devices fail seem to be a bad electrolytic capacitors. You should be able to spot the bad capacitors quite easily from those pictures.
Now they are fixed. The capacitors were replaced with good quality low ESR electrolytic capacitors that have the same capacitance and voltage rating as the original one and also mechanically fit to their place on the circuit board.
Now it works and makes no noise. So the fix seems to work.
Results 470 uF 25 v capacitor was quire bad. The capacitance had dropped to around half of the original value, which is not good. What could be even worse, that the ESR was so high that is is pretty much useless as power supply filtering capacitor. No wonder there were problems.
Then results from 1000 uF 10V capacitor were quite different when measured with two different tester. Based on those it seems that this capacitor was completely useless as power supply filtering capacitor.