Please, please meet with an attorney and protect your child and yourself. I suspect he knows that he can take advantage of you and will use this to his advantage. Don't let your emotional attachment leave you more vulnerable than you already are.
He can't just walk away from you and your child financially. You can file for temporary support and a temporary restraining order that would keep either of you from making large purchases (I read about his shoes.)
If you go to Europe, you realize that you likely won't be able to enforce any kind of child support.
When people cheat, it is safe to presume they are being dishonest about lots of things, including finances.
Please don't let him bully you into making the choices that he demands. Do your own research, know your rights, and don't take legal advice from the other side (that is what he has become.)