Even though it is a little bit complicated to distinguish the different options, these are the answers:
1. Oliver Cromwell was Lord Protector of the Commonwealth of England, Scotland, and Ireland from 1653 until his death (1658).
2. King Charles I was executed by Puritans in January 1649, since he rejected the demand of the English Parliament for the establishment of a constitutional monarchy.
3. The Commonwealth of England was created after the end of the Second Civil War and the execution of Charles I, in 1649, and it lasted until 1660. During that time, England, Wales, Ireland, and Scotland were ruled as a republic.
4. Theaters in London closed between 1642 and 1660.
5. The office of the Lord Protector was created in 1653.
6. The English Civil Wars (there were three of them in this period) took place between 1642 and 1651. The First Civil War took place between 1642 and 1646. It was a conflict between supporters of the monarchy of Charles I and those who rejected it.