Thank you, TinkerBelleLuvr. I searched your statement that you gave to 2 Mistakes. I found conversation between you and 2 Mistakes, however I couldn't find the form/statement.
I will just use the form I made to have father sign. If he refused, then I just have to take the same process I had 2 year ago (let the judge decided), it is very unpleasant for everybody but that is only option I have.
What changed since then (the judge awarded me to travel with the children) ? Nothing changed except I purchased a house here instead of renting an apartment.
Thank you very much again to all of you to help me.