Jet fuel is kerosene.
Yes.
A jet engine will run on diesel fuel, a diesel engine can run on kerosene (jet fuel), although it should have a lubricant added (motor oil is generally used because kerosene has little lubricating qualities).
Actually, jet fuel can basically work in a diesel engine. You probably want to adjust the engine a bit, because it will run unusually hot, but it should work... In fact, it does work.
BUT, diesel fuel in a jet engine would be a disaster. First, it would freeze at a relatively low altitude, but it would not even get that far. For it to burn quick enough to explode, it needs to be under pressure. Diesel is as far as you can get from that. If you put diesel in a gasoline engine, it will clog the filter, the fuel injectors, and will not ignite from the spark plugs. It will do worse in a jet engine. I doubt you would even be able to start the jet engine.