For me, the rule of no dating until you're 16 isn't really enforced by my mother. It's just something that I have decided to follow on my own. I like that I live in Utah where there are many others who are Mormon, otherwise people would find me rather weird for not dating....
This is what I learned about the names and what they symbolize:
The Beehive symbol is the beehive, which is a reminder of harmony, cooperation, and work.
The Mia Maid symbol is the rose, which is a reminder of love, faith, and purity.
The Laurel symbol is the laurel wreath, which stands for honor and accomplishment.