There is some confusion because there are 2 characters named Emma in the game. You are talking about Charlotte's daughter and are correct in your statements. They are talking about the other Emma (now deceased). She was killed before the opening scenes of the game, and is seen (I think) in flashbacks.
No, we are all talking about the dead Emma. That story isn't clear, either.
No, MC says it was his job to protect her (Emma) when he talks to Charlotte. Charlotte says she got him the job protecting Emma.
Oh, right! Now I remember it too.
Now I'm confused about the sequence of past events there. I guess it would make sense that he worked for Jason before he worked for Emma. I guess he didn't meet Emma while he was working for Jason. Which girl was it then he tried to protect while he was working for Jason, that got him fired?
Either I don't remember all the pieces of the back story correctly or the initial back story was changed later.
All I can say is that I'm quite a bit confused.
I guess I should read it from the beginning again and try to put the pieces together to try to make sense of it. I just don't have time to do it right now.