Yes
The computer that controls the transmission relies on these to decide when to shift.
There are sensors inside the trans, outside the trans, and on the engine that will all affect shifting.
No, the alarm will not affect the trans.
A "speed" sensor can affect the shifting of the trans.A "speed" sensor can affect the shifting of the trans.
Yes.
Bad spark plug wires affect many areas of your vehicle. However, gear shifting in an automatic transmission is not one of them.
If you mean low oil or fluid in the transmission, then YES, it will lead to shifting problems. Low engine oil will not affect shifting.
Yes, it is possible on an electronically controlled transmission.
Yes, common problem to have a high resistance switch.
yes,it would be the same as low oil in your engine. it will most likely overheat and warp parts, costing you alot of $
All of the engine sensors can affect fuel mileage.
If it a manual transmission it could be fluid level/needs changing, shifting fork/linkage or syncro issues. If it is an automatic, the fluid level/condition can affect shifting, also if the valves in the valve body are sticking. The transmission can also just need rebuilding, clutches are worn.
Tires do not have oxygen sensors. They can have pressure sensors. The lack of pressure sensors would have no affect on fuel economy.