Can an Irish Dancing Teacher from Argentina, get a P / O visa to teach in New York?

You will need to have an employer file for you. You can file for a change of status in the US or you can file from Argentina. You can eventually...

Visiting Century Lynwood jail with valid ID but overstayed on Visa

Well he will run a risk of going to visit a jail with an expired visa. The officers can check with immigration regarding his status.

Divorce twice and remarry US citizen

If you marry your United States citizen girlfriend she can file papers for you. You will need a lawyer to help.

Follow the instructions that were given to you. In addition, the attorney who handled the filing should have a copy as well.

How can I change my visitors visa to a work visa?

You can file an application to change your status. However, you will need to file the application before your visit ends. Hire an attorney to help.

How or which is the best way to do it. How can I get his resedency

The best way for him to get residency is for you to get married.

Why a F1 student would be send for further investigation at the port of entry?

CBP just did not like what they saw. Perhaps your school did not properly update the SEVIS system. Perhaps there are other issues that the...

Why a F1 student would be send for further investigation at the port of entry?

You can have your situation investigated further anytime there is an issue that CBP wants to investigate.

F1 renewal after a H1B visa was denied.

Yes you will be able to renew your student visa. Work with the DSO at the school.

How long i can stay out state with the notice of action

Your travel should not be long if it is out of the US.