I can't imagine posting suicidal stuff on FB. And it is possible to make it so that all that shows when someone looks for you on FB is your picture. If you want your FB stuff private, I believe you should use those settings.

I just googled myself to see what is out there. There are other people with the same name, I can't see that as being all that surprising. I found a couple of places where I am listed as the contact person for events that I was, indeed, the contact person for. And one picture of me with some little kids on a mission trip was on a website about short term missions. I'm fine with all of that.