Yes. Chess depicts real life strategies for wars and even politics. The origin of this game itself hints how much it's related to real life situations.

In short: the common is sacrificed for the one!

On a very simple level yes because it involves two factions trying to wipe each other out with a distinct leader who you need to protect at all costs.

Its similar to war in the way you trick your enemy, try not to get greedy and go for the most powerful enemies.

Most certainty so. It teaches the basics of war strategy as it shows how each move is essential to winning. In both war and chess you must think about every outcome that can happen when you make a move. You must think about what could happen in the near future and the effects that can happen of each move in the late game. Chess is about predicting your opponents moves and thinking like they think, it teaches you to be patient, careful, the value of your pieces and the ability to understand the pros and cons of risk, all qualities that are required of commanders. Being in charge in war is about being able to weigh your options and make decisions in a timely manner that work to achieve victory and chess teaches this as well as it demands it.