It really depends on how the parental rights are divided and should be specified in your divorce/support paperwork.
yes
A 12 year old is not allowed to volunteer without their parents permission in Reno, Nevada. If they get their parents permission, they can volunteer almost anywhere.
Situation: Custodial parent and child live in Nevada, non-custodial parent lives in Ohio. Possibly, but you would probably have to petition a court in Nevada.
When you are 18 without parental permission.
I live in Nevada. You can get a divorce in any state and no permission is needed.
If a 14 year old wants to live with the dad and the mother has custody, she can live in Nevada with the parents' permission. Both parents much agree on the situation.
In Nevada, if you are 16/17 you have to have parental consent in order to marry.
The parents are still responsible for them in Nevada. Without their permission they will have to wait until they are 18, or get help from social services to get to a safe place.
She is entitled to child support regardless of where either of you live. It is your child and you must help support him/ her, and no, she does not have to move back to Nevada.
Seventeen is not the same as eighteen. Until you are an adult, the Nevada law says the parents are responsible for the minor.
Pregnancy does not emancipate a minor in Nevada. Until she is an adult, her parents have the responsibilty to maintain her.
With parental permission, yes.
I do not think that all states are standardized yet but in Nevada it is 25% of the non custodial parents income for the first child and then an added amount of something like 3% for every additional child. The custodial parents income or marital status does not factor in at all.