A full curfew/lockdown executed/implemented/applied in Iraq last midnight, and it will continue for 10 days.
Is it curfew or lockdown? Because pharmacies, food, and grocery stores are allowed to open. Is it executed, implemented, or applied? What is the difference between all of them?
A curfew usually applies to a limited number of hours in a day, for example, dusk to dawn, or 11 PM to 6 AM.
A lockdown could last all day, everyday until lifted.
If some stores are allowed to remain open, presumably their customers are allowed to patronize them. That would be some sort of limited lockdown, with exceptions that would have to be published.
Implemented and applied seem more likely than executed. Another possibility: put in place. Implemented suggests that steps were taken to establish the rule, while applied doesn't focus on steps; but that is looking for fine distinctions that a writer may not pay attention to.
A full curfew/lockdown executed/implemented/applied in Iraq last midnight, and it will continue for 10 days.
The choices you have listed for their respective areas are only slightly different and are fine to use. Publishers usually prefer shorter words and could say
10-day Iraq curfew began last midnight
Actual related headlines from some agencies show that both curfew and lockdown are used.
Iraq announces 10-day lockdown amid virus surge
COVID-19: Iraq announces strict, 10-day curfew
