No I don't think that's the case. Presumably you've disassembled the system and had looked in the cpu socket for any misaligned contacts?
Weird stuff going on and now the power supply started to coil whine? Could've been damaged during transportation. You can't however open the power supply to look at it however because a)even if you saw a problem you couldn't do anything about it, and 2)Residual charge from the capacitors can kill. And 3) you might not see any problems if there was one, since it's up to technicians or experienced amateurs to do that kind of thing. Some people actually modify their power supplies and motherboards by purchasing more quality capacitors for them, or renew them after a while to keep them buff. Not saying anyone should start a new hobby though.
The point is you've passed the point where there are any simple fixes. The options are to try other components if you have spares available (don't) or take to a shop which will charge a fee (and parts) to replace anything and also have an electrician look at the electrical situation. Or buy parts and save on labour.
Faced with those choices, I'd think purchasing another power supply would be the cheapest so find something from the
Psu tier list.
However the obvious drawback of that approach is, it isn't 100% certain the PSU is at fault. It's entering the zone of costing money to eliminate it as the cause of the problem.
You also have to not mix up the cables of the two power supplies if you buy another modular one, very strictly don't.
So once you've frittered away $ for that and it might not resolve the problem, there's the electrician and there's the computer parts: The CPU, mobo, Ram isn't suspect (yet, did you manage to run memtest86 off a usb?).
As for drives well, I have actually seen a case where it appeared 'normal' but was actually the source of a crashing bug. However the symptoms were totally different, it was not a freeze it was merely games stuttering.
The absence of monitoring data since you can't access it without the PC freezing reveals no information. Though it doesn't say much either. Either way, a struggle to get that.
If you had the parts, I'd start with PSU, CPU, then GPU, then Mobo, then drive. But you don't. So If you take it to a shop and they 'can't find anything wrong with it, mate', then you might know it's something to do with the power source.
So the Only free option available at the moment is to try it at a friend's house to eliminate the electrics as a suspect. So hopefully your friends have recently tested electrics.
Well overall I simply wouldn't expect new parts to behave like this.