Master Checkers is a clean version of the classic board game with three ways to play: online multiplayer, against the computer, or passing one device with a friend.
Checkers looks simple and isn't. Because captures are usually compulsory, a good player wins by offering a piece that forces a capture chain ending badly for the opponent — the whole game is built on that idea.
In most rule sets yes, and that's what creates the game's central tactic: sacrificing a piece to force a capture chain that ends in your favour.
Move and capture backwards as well as forwards, which makes it dramatically more powerful than an ordinary piece.
Yes — that's one of the three modes, alongside online multiplayer and playing the computer.