Well, for rendering animations you just press the "anim" button instead of still-frame "render".
Quote: "-Can the camera be moved during the scene?"
Yep. Just set keyframes for the camera in different positions/rotations like other objects.
Quote: "-How would I change scenes?"
You can have more than one camera, and control which frames to render. You could render, say, frames 1-50 with one camera, then select a different camera and render frames 51-100. Then you can take the two (or more) separate animations and sequence them with blender or another movie-maker app.
Quote: "-Can I set objects to start playing at a certan time"
Yea, just set their keyframes to start moving at a certain frame, instead of the first one.
Modelled and rendered in
Blender. Free software ftw.