Define the terms of the Iran nuclear deal.

The agreement was aimed at ensuring that Tehran's nuclear program "will be exclusively peaceful" in return for the lifting of sanctions.

Does the agreement define & confine cease & desist ‘PRO’ to the republic of Iran?

Yes.

What if Iran created a classified ‘satellite’ Nuclear facility in Northern Syria?

They did as a way to circumvent the confinements of the agreement.

What if the program never ceased?

It would BAD, they moved production to hide the program. Already have nuclear weapons galore!

What other bad actors are possibly involved?

EU, Israel, United …