I am wondering if you have a bad ground wire.
Each tail light/brake light had a separate ground wire, that is supposed to be hooked to the ground somewhere.
If it is bad, those lights will not work.
Your center light probably has a separate ground wire.
If you take an electrical meter, test the bulbs with a meter, then stick the meter's contacts inside the socket and press the brake pedal and see if the meter shows "juice".
Often a car wreck/fender bender can break or compromise the ground wire of which I spoke.
God bless your efforts.
Check your fuses. If OK check all the vacuum hoses for any loose connections or hose ends that may have hardened, if you find any that are hardened or have cracks in the ends, cut a piece off and re-insert. If still not working the electrical components (controls) will need to be checked.
sounds like it looses wheel sensor signal from the front left wheel, thinking its slipping. either a defective wheel sensor or loose connection somewhere on/in the wires between wheel sensor and control unit
If you have a multi-speaker setup like my 4Runner (also an 2005) Toyota uses a separate amplifier; i.e. not built into the the head unit (radio). The only home solution would be to clean the contacts where all the plugs connect. Back of the head unit, and the amplifier. If this doesn't fix it the amplifier probably has failed or the electronics in the head unit. Don't forget to disconnect the negative battery cable before doing any of this work, and make sure you have the security codes for the radio before you disconnect.
First find where it is coming from. Most likely from the valve covers. Just wear and tear on the components. I believe Toyota has adjustable valves. You'll have to remove the valve covers. The rockers arms will have a screw with a nut on the top of them. Loose the nut and adjust the screw down. This has to be done with each cylinder at top dead center. You will need feeler gauges. The gap is small. 3 to 7 thousandths. I don't have the exact numbers. The intake and exhaust valves are different measurements.