Your username isn't very good.
I would have gone with Drew Peacock or Hugh Janus or Chris P Nutts. Or Mike Oxard, Moe Lester or Phil McCrackin.
Anyway ...
Where does the Earth get its energy?
Energy for what? For its acceleration? That comes from dark energy. A mysterious force in the universe that is responsible for 73% of the entire universe.

If from the sun, how does a sun that is only 38 miles in diameter provide enough energy?
The sun is much closer and smaller than you have been lead to believe. Because its so much closer, it doesn't matter that its smaller. It keeps us nice and warm.
How do those that are in charge of the conspiracy fake satellites moving in the sky?
Satellites are fine. Orbit is not. They just fly across the sky and are ferried back to the start position.

Why is it that FEers have seemingly complete understanding of dark matter while the public domain of science isn't quite sure how it works?
FErs are well educated.
Is it possible to get proof of the antimoon?
Yes, eclipses are the best time to observe it.
When space shuttles launch, how high can they get before they are out of view?
How good are your eyes?