I edited your post as you posted the same message twice.
Welcome to HealingWell. You are indeed in a tough spot and I believe you know what you need to do. We can guide you but you have to take the responsibility for your own feelings. I think you would do very well in therapy.
If I read this correctly, you are married to the engineer. Your parents do not know. You have a new boyfriend that you have been dating for sometime who believes you are free to marry and he has even gone so far as to ask your parents for permission to marry you.
You do not seem to care for this new boyfriend and are calling your "husband" to let him know someone else wants you. It is causing conflict between you and your husband as you seemed to have much conflict when you were together.
I am not judging you, but I feel you need to be honest and upfront with the people in your life who do love you.
Tell your parents you are already married. Tell the man that wants to marry you the truth. He has a right to know he has been dating and proposing to a married woman.
Get over the " husband" as from what you have written it is not the guy for you or are you for him.
Get a divorce, get your job and start fresh with new coping skills you can learn in therapy.
Also find the strength to apologize to your parents and the young man that has asked you to marry him. He is going to be very hurt by what has been going on but he has the right to the truth.
Remember this is just the way I see it. I wish you the best and hope that out of this you can make a good life for you.