I believe it means self government. If I remember right from that book, there was basically no government, so that means they had to take care of themselves because of no food, water, etc (until the end of course). I hope this helped. I wasn't too sure about this question, so hopefully its right!
When Katy plays a baseball she has to run to a base to try to make a full home run on 4 bases
The motto means that you should reduce the trash that is causing pollution. Also, that you should follow the idea of conservation and conserve any renewable resources by recycling them.