It'd be "kindness can bring great rewards" and "giving in does not mean giving up"
Chivalry is all about morals, high expectations, and honor. Heroes are expected to act with honor and have great morals, therefore must have chivalry.
The correct answer is their. Because his or her wouldn't make sense because it says they, his also wouldn't make sense for that reason, and the other form of there means for example, "over there"