Can I move with my son even though we have no court papers? How?

I'd do my best to establish the earlier consent. You might have a letter or E-mail from him. You also can businesslike put to him the scenario to get him him in writing/E-mail to say to what degree he agrees with your recollection. If done successfully, and you document the changes you went through in reliance on the consent, you can legally leave. However, he could litigate over the issue in Family Court in your current County and he might be able to show some post-consent change of circumstances giving him a reasonable basis for changing his mind.

You absolutely can. However, your husband can, if he chooses, ask to have the child returned to the home state.

See an attorney, I need more circumstances but you should prevail if you once had, and can prove, an agreement. Right now the court has no jurisdiction to stop you, but that could change in an instant.

Probably, but it depends on the law of the state where you live. Since this is a corner of the site devoted to Wisconsin, I will assume you live here. If there is no divorce or paternity action pending, and no earlier court order affecting where the child lives, you can move with the child out of state. You must notify the father of the child's whereabouts. Of course, it's best to work out any dispute about this matter rather than present the father with a fait accompli. Consult an experienced family law attorney: it's almost always worth the investment.