Davis sends everything through the email. You should have gotten a notification about a decision on your application first. Check your online app account and make sure your email on there is correct. Also maybe your email thinks their messages are spam (not likely). Just call them. They might have sent you some other good stuff you missed out on.
So which is a better school? I know Santa Barbara is a nicer place to live at. Also most rankings place it above Davis, but is there a significant difference in the two? Does one open more doors after graduation?