There's no use for a black hole since even light cannot escape it.
Science has yet to fully prove what lies beyond a black hole.
You can't really "make" a black hole, but you can do research, present on the research and do a small demonstration of one of the properties of a black hole. For example, there are lots of experiments you can set up to measure the force of attraction between two objects. You can use that as a launch pad, then compare that to the estimate gravitational force of a black hole.
"The Black Hole" (1979)
Black Hole
By its effect (gravitationally) on nearby stars.
Your use of "the" black hole seems to indicate that you are thinking about one specific black hole. Please clarify which one - there are several known black holes, discovered at different times.
You can't.
If you believe in God and you believe that God created everything, then sure. If you believe in science, then a black hole is created when a massive star collapses and a black hole is formed. [See related question]
Firstly, they could not observe you since light can't escape from a black hole. But, if you were to think about this science fictionally, then one would observe you getting mixed with the other particles in the black hole, then contracting, and finally dieing.
There is no scientific evidence that White Holes are possible or that there are other universes. While it may pass in Science Fiction it is not science. Scientists say it is very possible that there parallel universes and that a white hole is the opposite of a black hole also. Science may be stranger than science fiction.
No. A black hole is a dead star that slowly is gathering anything it can pull. A nuclear weapon would be expected to act on a regular set of rules and situation (surface of a planet.) A nuclear weapon can destroy things coming close to the black hole, but not the black hole itself. The whole reason a black hole is so strong is it is a star that fell into itself - folded inwards likes a moebius strip; launching missiles into the black hole would only 'feed it.' According to our present technology and science, you cannot destroy a black hole, they are already the most 'destroyed' you can be.
If you jumped into an "ordinary" Schwarzschild black hole, you would be crushed into a long line of particles, which means death by a black hole. If you jumped into a Kerr black hole, the same process may occur, but the only thing different is that a Kerr black hole spins, and a Schwarzschild black hole does not. That answer needs a bit more detail. Please use the "related link" below.