Is Rafael being cute, or a bit psychotic?
My view is the latter until I hear otherwise.
All of the pressure games -- changing your name, planning the future family, wanting to be called "daddy" -- are way, way out of line at this stage in your relationship. They aren't funny or cute in my opinion.
Bottom line...stay away from this guy! Trust your instincts...there's a reason why you're not comfortable having him meet your daughter or even talk to her on the phone.