Well, I was going to tell you that you're about to be sold into white slavery, but as I read it, maybe all they want is to steal $3800 from you and let you go to a strange country and be stranded there with no way out. 

Now, there is NO reputable company that demands a $3,800 training fee. 

You've mentioned all the red flags.  Don't ignore them.  No matter what you wish, that job is a scam.