Which of the following has the lowest ignition temperature? 

The minimal temperature must be reached before a flammable substance, such as air, gas, or another substance, will ignite in the absence of any heat source. We can say that the ignition temperature is the lowest temperature at which a substance ignites and undergoes combustion, releasing heat and light.

 As compared to other options kerosene is a petroleum product. It is used as fuel. A spark or strong heat is only needed for combustion of kerosene. The ignition temperature of kerosene is in the range $37°\mathrm{C}-65°\mathrm{C}$. So the answer is kerosene.

Auto ignition temperature is a real phrase. The lowest temperature at which a substance will spontaneously ignite in a normal environment without the aid of an external source of ignition, such as a flame or spark, is known as the auto-ignition temperature or kindling point of that substance. In order to provide the activation energy required for combustion, this temperature is necessary.
When a mixture of gases or vapors ignites spontaneously without the aid of an external ignition source and after reaching the auto-ignition temperature, auto ignition has taken place.

Hence, option A is correct.