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Should be by firewall close to passenger side. these does not have a cabin filter.
check your fuse and relays to headlights also check the bulbs. have they been replaced recently? wrong bulbs can make them act weird which can lead to confusing diagnosis
relays usually have a wiring schematic on the case of the side of relay. you can follow that to actuate the relay and check resistance or continuity.
Is there any check engine light on or blinking malfunction lights while it sputters?
does the key turn to start position? does it crank or make any noise when attempting to start? does dash lights turn on when trying to start?
Yes they can but often replacement is necessary. When the vehicle is shut off the traction light will reset. when turned and driven when the module sees a problem or lost signal with the wheel sensors it will turn on the light back up until it is shut off once again. Have your vehicle tested for codes with a capable scanner. the codes will help you give direction on which sensors or circuits to check.
Round yellow with three marks on left side and three marks on right side? that is a brake pad sensor. Either pads are wearing or sensor harness is damaged.
There are a lot of myths about synthetic and conventional oil. Synthetic is much better for the engine in my opinion, it does not breakdown from heat as fast as conventional oil and works well under different ranges of temperature. Also depending on the brand/type different additives is added to the oil which can also help clean,prevent and protect engine from sludge build up. You can gather more info on this from manufacturers websites like Castrol, Valvoline, Mobile1, AMSOIL, Royal purple etc...
check the hood sensor, sometimes it pops out of its place when hood is pushed to hard or slammed hard. its under the latch catch on passenger side
Not sure a tune up or routine maintenance will cause/fix your issue. When it does not start...does the engine crank over? the whizzing sound...do you hears this in engine area or towards back of the car by fuel tank area?