Can't Sync SIII With Google Contacts

A

AC Question

My Galaxy S3 won't sync anymore with Google contacts. I have gone to the "SYNC SETTING" and unchecked and then rechecked the sync box to no avail? It looks like it's syncing as the icon is turning round and round, but no actual sync happens and the last sync date listed remains in February.

I do not have an app called Google Contact Sync. Do I need this app, and if so where do I get it. I don't see it in the Play Store.

HELP!!!