Kind of. The pull isn't countered in any way, it's simply that the shuttle is going so fast that as it falls towards the Earth, the Earth moves away under it at an equal rate.
Not true. An electron is not "pure negative energy". Negative energy doesn't exist except in a mathematical way. And "pure energy" doesn't exist at all. Energy is a term used to describe how much work something is capable of performing. It manifests in reality in different ways depending on what you're talking about and in the context of what theory. For example General Relativity and Quantum Mechanics do not describe energy the same way.
Not really. The attraction that the two particles feel on each other is based mostly on the distance between them. Any magnetic force felt by the particles would manifest differently I believe. Furthermore, as the electron "orbits" the nucleus, under classical mechanics it should radiate its energy away as EM radiation and fall into the nucleus. This does not happen and was initially explained about 90 years ago by Niels Bohr at the beginnings of Quantum Mechanics.
Again, no. Keep in mind that charged particles are screaming past each other at near light speed all over the place in space. If your idea was correct one could expect to see those particles being captured by oppositely charged particles since the force between them would be incredibly high. But this does not happen.
The key is HOW could one do this. How do we alter an electromagnetic field? We move charges or magnets around or work with EM radiation. That's it. Each one of those concepts has very very specific rules and consequences and cannot be altered at a whim. We cannot "create" charges either. Nor can we alter gravity unless we move around LOTS of mass or energy. (Which itself requires energy in the first place) The field itself cannot be manipulated in any other way.