Yes, all things I am grateful for make me happier. But not all things that make you happier, are you grateful for.
Being grateful for something transcends being happy about that something. It's about holding in your mind, certain things that don't just make you happy, but resonate with you.
I don't, for example, think that just conjuring up the thought of a delicious ice cream cone, is going to have any lasting effect on your mood. Yet, ice cream makes me happy.
I do think that taking a moment to reflect on how lucky you are to have a family that is supportive, functional, and healthy... can definitely be a small bump, on the happiness scale.