Kubrick does not have a “Pause” feature, because none is required. If a demo is running, just click anywhere to stop it.

Currently you can change the view, using the View menu, the amount and speed of animation and the bevel on the edges of the cubies, using the Settings menu.

Yes. This is one of the strengths of Kubrick as compared to a real puzzle. You can undo and redo moves to any level, or undo all moves and start again. To undo and redo moves, use the Move menu or the corresponding keyboard shortcuts and toolbar buttons.

Yes. Kubrick has keyboard moves based on the X, Y and Z axes and others based on Singmaster notation, which uses one-letter abbreviations for Front, Back, Left, Right, Up and Down faces of the cube.

No. However, the 3x3x3 Rubik's Cube™ has been extensively analysed and you can find solution methods on the Internet and in menu item Demos → Solution Moves (“Info” item and demonstrations of moves).

Yes. In fact your position is saved automatically when you quit, just as when you put a real cube back on the shelf. You can also save a particular position by using menu item Game → Save Puzzle... and the corresponding shortcut keys and toolbar button.

Your automatically saved game is restored automatically when you start Kubrick. To load other saved games, use Game → Load Saved Puzzle... and the corresponding shortcut keys and toolbar button.

Kubrick does not have such a feature.