Dont be upset over what you feel. It is your right to feel that way. And it is because of your past. Have you ever tell him why you felt that way? Have you ever tell him that you care, you love and jealousy makes you felt that way? The thoughts of losing him.
While I understand it is difficult to let go because of feelings and childrens, but ever thought of your own feelings? You can do co parenting if you were to be apart instead of putting all your emotions, pain while not being notice and being scolded at for just a simple msg that you are sending across (jealous).
He cheated on you? He lied to you? Ever find out why? Have ever thought about your feelings, emotionally, mentally, physically? Have you or him go through counselling or discuss ways to make it better?
It can be very hard to overcome the past. Maybe perhaps can forgive but nor forget but we have to consider other factor looking into expect of future, feelings, kids, yourself. You know sometimes when you learn to let go, you feel better. When you control your emotions, you feel better. You can also start to "play kite" = give and take. If you notice things start to change (for better or worse), just keep calm and relax. If it goes wrong, tell him off. If it goes right and better, thats good and his improving.
itsallabout_mytwokids