Yes. It normally depends on how you and his/her other legal guardian have it set in the court. For example, if in your court date its says that you or the other legal guardian cannot have the child for more than 2 weeks than you must have him/her back within in the time. Also you may still want to arrange it with the other legal guardian so they do not call the police.
That depends on the limitations outlined in the original custody agreement. In many cases, you would not even be able to obtain passports for your children without the other parent's approval much less move without the other parent's cooperation or the court's permission. You should consult an attorney for an informed opinion of your rights and limitations.
Not without permission of the court if the other parent's rights weren't terminated.
no
No, you will need the other parents and the courts permission.
Depends on the ruling during the divorce.
With joint legal, one is still primary and thus has the authority to do so, but not without first discussing it with the other parent.
Yes.
Yes, but not without a court approved long distance visitation schedule being established first. see link
yes
sue probably
Permission from the other parent. Yes if you are in leagule custody of the child at the time
no, even if you have sole custody