Cohesion, have you been married for a long time? For some reason I thought you were a single mom. It doesn't sound like you're happy or this is a marriage of convenience. Either way, this sort of job isn't for a married lady in my opinion. Even for a single girl, after the fantasy fades I can see it turning problematic.
Say even the most highly sexual woman decides to work for this man. There's going to be days where you don't feel like giving him head. What if you're having a bad day or your child gets sick and you have to stay home with her? His sex-doll is expendable, not unlike any other job. If you are seriously considering taking this job, have an attorney go over this contract.
If indeed, he is a legitimate CEO for a large company, what about the other employees? I don't see them treating you as an equal. He's told you his previous "secretary" was with him ten years, maybe to make it sound more legit. But I doubt he can keep people that long. You've already been made aware that you will not be able to sue him afterwards for PTSD and other stuff. Just red flags all over, Craigslist being the first one.
Seriously, the man is a freak and it doesn't sound like a secure/legitimate job. Like notagain said, this guy could pull some shit on you that you can't anticipate or expect you to blow his colleagues too. You could tire of this just as quickly as he can. Fuck that! You can find something that offers stability without compromising your dignity.