Good morning, Detune;
A different thought: Speaking as someone who worked in electronics in all of his "useful working years," I am not sure that there is a problem with the main storage capacitor that provides the power to the flash tubes.
You said that it works now only on "Max and 2," but not on "4." This is not a problem that I would associate with a failed or failing capacitor. You also said that there was a "sudden slowness in charging." I would not associate a deformed capacitor with a sudden change, especially if the change happened while in use. Problems with deformed capacitors normally show up after long periods of no use and storage. The main symptom will be that they will not hold the charge that they are supposed to have. You did not say that you did not get full light output.
A long increase in the charging time I think is a power supply problem or a control circuit problem. At least the part of the control circuit that monitors the power level of the capacitor does seem to be working still if it is waiting so long for the capacitor to charge up.
To me, the combination of those two symptoms point to a problem with either a section in the power supply or with the control system that sets the power level (Watt-seconds) of the energy stored in the capacitor for the flash tubes. One real curiousity is the fact that it does still work on "Max and 2," but not on "4," the middle power setting. Again, this sounds like more of a control circuit problem.
I am not at all sure what to say about the result when you turn the power switch off and then back on. More detail in the description of what happens here would be very helpful. However, again this could point to a control circuit problem.
I hope that there is a service center in Aukland, Wellington, or Christchurch. Fixing the problem may be very simple, but it may not be simple to diagnose. Having a schematic (a roadmap for electronics) would really be helpful.
My eldest son just sold his motel up in Paihia on the Bay of Islands.