Looks like the blower motor is bad. Its under the dash in the passenger footwell. Prepare to be in roughly this position to fix it:
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When mine went bad if i hit the bottom of it with a screw driver or wrench it sometimes would work again for the rest of the day.
Does that mystery switch light up when the car is on like is it an LED switch? If it does the three different wires go like this is my guess on how the wires are hooked up, but again you wont know till you trace them because I think its an amp remote/turn on wire.
Black = Ground
Red = Power (From Fuse)
White = Accessory/Switched power (to the amp/wire dangling on the floor from video)