have:
cycle you could store about 0.1 millijoules in the
That is not enough. If your goal charge voltage is 6kV, your storage capacitor voltage rating needs to be a MINIMUM of 1.5 times that voltage.
It doesn't matter. A 6kV at 1µA source will charge any cap that can handle that voltage. The charge rate is a function of the current the source can provide at a given voltage.
Still, if your caps get holes punched through their insulator/dielectric layers, they will not work. They will appear and test as fine at low voltage (which all testers are), but at the working voltage, they will fail. EVERY TIME.