The larger electrolytics are more likely to be your problem, as I prior described.
No they very likely aren't
These mylar capacitors (talking about the 1U0K 250) are a known piece of shit. But they are cheap, so widely used. The loss of capacitance is due to internal arcing in the capacitor. If you smash it into pieces with a hammer and take a piece of the internal foil, looking through a light, ya'll see the foil is full of burnt holes.
By having a brief look on your power supply board, it seems like a bog standard push-pull forward converter with a half bridge stage of bipolar transistors and a base driving transformer (the smaller one of the two). The 1U0K 250 capacitor is in series with the primary, to strip off DC voltage from the main transformer's primary.
Replace this 1U0K 250V thingy with a new one (or at least one measuring good, taken for example from an old PC AT/X power supply - there are the same) and it will be good as a new. I would then also suggest replacing all the electrolytics anyway.
Your PSU will be wired very similarly as an PC/AT PSU anyway, so here's a schematic with the 1uF cap circled as a hint for your repair.