M.W.
Kids call their parents so many different things. A little boy I'm familiar with calls his mom and dad "Mommy" and "Big Mommy". It could be worse...
If he wants to call you by your name, let him. I'd be willing to bet that it's a phase. Maybe he just wants to feel grown up and on the same level.
Be so thrilled that your little boy is so smart and thoughtful! You must be proud. Relish these moments. And if dad doesn't live with you, then don't worry about it. He can make his own rules. I'm going through the same thing! It's tough, but worry about you and Jaydin. Sounds as though he loves you and respects you an awful lot. You must be doing something right!!!