After I left work yesterday afternoon, I stopped by a jeweler here in Atlanta.
He said that all of the diamonds on my ring are real and YES diamonds can crack and break. He said it's a lot easier to break the side diamonds because they are smaller chips. He said that they are likely not bad quality diamonds, they're just small and he would be willing to bet that I'm probably pretty rough with my hands. He said just try to take it easy.
He also said, that if they continue to chip they will eventually break out of the setting. But they can be easily and pretty cheaply replaced because they are chips. He said he sees this all the time.
I'm still upset that they are broken because I cherish the ring so much, but I'm really relieved to know that they can be fixed and not had a really high cost.
Thanks everyone for your help and advice! =D