Alternatively... use a Digital Multimeter and test the voltage @ the P4 & ATX power connectors during POST & running @ 100% load, if you could recreate the reboot/lockup error with DMM insitu, it'd give a definite answer to whether your PSU was/is cactus or not

Look for low voltage & significant fluctuations on the rails/lines, out of curiousity what brand/breed of PSU are HP using in that model?

Additionally, as I don't have any experience with wireless mouses & keyboards, I don't know what effect a faulty component would display, however if you could lay your hands on some old school PS2 user input devices (keyboard/mouse) you could try them also and either elminate them from the possible causes, or cure the issue
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