Google Calendar app doesn't sync
I'm using Galaxy S3 I9300 with Revolutionary S5 ROM (it doesn't come with most Samsung apps and it didn't come with Samsung's calendar app with the green icon).
I've installed Google's calendar app (with the blue icon) but for some reason my calendars from Google won't sync with it. It's completely empty right now. When I go to phone settings > Accounts, "Calendar" won't appear under my Google accounts and when I go to the Calendar app > settings > my account, it sees my email, but there's no calendars inside it.
*Clearing data and cache
*Reinstalling the app
*Rebooting the phone
*Relogging into and resyncing my Google account when the application is installed
Does anyone know about this issue? Is there any solution?