Help with syncing contacts. Gmail, iCould, iPhone

Hey all. Needing alittle assistance on making sure all my contacts are being backuped correctly. I'm a big Google app user and prefer backing up all contacts into my gmail address book. Under "Mail, Contacts, Calendars" I have my Google contact account setup, but when creating a new contact into my iPhone it doesn't appear into my gmail account. Is there a write up on how to correctly setup this?

Also, having a second backup of my contacts would be superb as well (Gmail and iCloud). My phone is logged into iCloud and Contacts is ON, but on iCloud.com, my address book is blank...

Gmail contacts are selected as default, also when turning "off" my gmail contacts, I only have the contacts I created on my iPhone (duh), but I would like all of those together, in one..

Thanks for the help!