So that confirms that it is the main input to the key-switch that is not completing the circuit through the ignition and headlight circuits - the brake & turns are on separate pole through the switch which explains why that works.
And cannot be on the output side of the switch, since multiple poles are being affected; so confirms you are losing power at the input of the switch plate.
That puts the problem at Fuse 2, the key-switch connector wires/terminals (on either male or female) or the input wire at the key-switch contact plate itself.
When you get a 'repeat' failure it is either a high probability failure item (the key-switch on the T I would not consider this to be compared to the Classic/Std) or it is something else that was masked temporarily.
Since you did appear to get some temporary relief, when installing a new key-switch (or maybe just the physical act of disconnecting and reconnecting) it puts the connector set as a high-level suspect - and see the pics of that other one to show how that can be an issue)
Here's a potential for what could be a low-cost easy-execute solution or at worst a valuable aid in the problem diagnostic:
Connect a fused wire from the battery positive directly to the White wire of the Key-Switch, just beyond the key-switch connector on the key-switch side - a PosiTap connection will make this an easy connection that is minimally invasive if you decide it is temporary for testing.
That will bypass Fuse 2, its socket, the White/Blue wire and the terminal on each side of the White/Blue to White connection in the key-switch connector.
If all is then good, it says problem is in that defined 'bypass' region; if it is not resolved, then yes, that would also confirm problem to be in the switch itself.
If that connection does fix it, if you want further diagnostic using this aid, you could then switch the PosiTap to the White/Blue wire on main harness side of the connector set - if it then fails, problem is your connector - if not, puts you back at the Fuse Panel.
If you need me to, I could make that bypass link up for you with a quality Fuse Holder (MetriPack 630) and battery lug and PosiTap
If you want to source yourself see here -
Order Online- Discounts and scroll down to item ZRTL-643-6 ; 12-18ga 6-piece, $8.95 shipped
(cheaper to buy directly from PosiTap with free shipping than to buy on-line from vendor or EBay)