If you are always worried about another person's happiness does that mean that you love them?

No, not at all. I care about my brother's happiness, my husband's happiness and friend's happiness. It sounds like you are a very caring person and just like to see people happy, but please, be careful .. don't forget about your own happiness. It is up to each of us to find our place in life and bring happiness into our lives the best way we can and we can't expect other's to constantly worry about us. It's pretty normal to feel depressed or sad at times, so just be there when they need you. It's not all bad.