http://www.nydmv.state.ny.us/broch/c41.htm
The same as if you were driving with an in-state license, so long as you're driving on an unrestricted license in good standing from the state of issue.
Yes.
That depends on the state that you live in.
Yes
In my state you must be able to read and write English to get a 'junior" license.
Yes. No different than if you were a resident of that state and driving on a suspended license. A suspended license is invalidated everywhere.
A state can request for your state to suspend your license. Your state may or may not comply. If your state does not comply, the other state can still revoke your driving privilege in that state, and, if you're pulled over in that state, it is treated the same as driving on a suspended license.
In every state, you must pass a driving test to get a drivers license.
Go to the New York's Drivers License CenterConsult your out of state Driver's License/ Learner's permitIf it valid only in the state that issued the permit, you cannot use it in New York.
California
No.
They can suspend your driving privilege in the state of Oklahoma, meaning that, if they do this, and you're caught driving in Oklahoma on any license, it'll be treated as you driving on a suspended license. As for actually suspending the license, they can request that the state of Texas suspend it, and the state of Texas will make the call as to whether they comply or not.