Is having faith that God exists, the same as having faith that your Family/Partner loves you?

No it is not. Faith is the belief in something that you have no proof of. A person has proof someone loves them by the way they treat them. This is called inductive faith. It's like waking up. People are pretty sure they're going to wake up because they've woke up every day of their lives. Therefore they have proof they're more than likely going to wake up and proof someone loves them. Where as, having faith in something that no one has ever been able to present any credible evidence for, such as a god or gods is simply believing in something that just isn't provable and probably not real. Besides, have you read the Bible or any other Holy books? Those gods are hardly worth worshiping. If someone is treating you badly and asking you to accept their love on faith alone, they do not love you.