In the search on SA I see “Background Members “,  I understand new, college, premium, I don’t know what is meant by background.  Any help from the mongers?

I think it means they went through SA's 'background check', whatever that really is.

Means they ponied up extra dough so SA could verify their information. Sort of like Date Check/P411 for the sugar bowl community. Lol

that somehow they have verified that this is a "real" person.

The went through the SA background verification. I don't know how much that really helps in picking which SBs to try and see, but that's what it means.

of her murdering her past SD.
Otherwise, it won’t give you much, and in my direct experience is absolutely no guarantee she won’t go BSC on you.

have zero bearing on my selection process.  I've never noticed them to be reliable indicators of anything at all.  Ignore them.

All of my favorites have mentioned only seeing background-checked, premium daddies, for what it's worth.