The word "static" would best accompany "unmoving" since when something is "static" is often changes very little, if at all. This is used frequently in physics and even economics.
May be D. There is no way to tell who won the game. It is because it could be their first match, there are much more stronger team out there
Yes because it has a subject which is both of the candidates and a verb that begins to explain what they are doing or normally do. They radiate confidence on camera.
"Both of the candidates" can be replaced with the word "they" and that may help you when deciding what is considered a complete sentence.