Here are some more sentences on the same theme. Thank you.

1) Puritans was the name given to the more extreme Protestants within the Church of England. They disapproved of both the rites and the bishops of the Church of England and wanted to reform the doctrines and the structure of the church (by) eliminating every trace of Catholic influence. (They wanted to purify the church from any trace of Catholic influence).
2) Charles I, however, believed he was king by divine right and refused to give up command of the arm forces. For that reason, Civil War broke out.
3) The forces were divided into the Royalists and the supporters of Parliament, led by Oliver Cromwell. The former had long hair and were known as “Cavaliers”. They included the lords, the gentry and the Church of England.
4) The latter were called Roundheads because they considered long hair sinful and wore (cut) their hair short. London, the ports, the Navy, the new gentry, small landowners, artisans and puritans sided with Parliament.
5) After the King’s execution on January 39, 1649, monarchy was abolished and the reign was a Parliamentary republic known by the name of Commonwealth under the rule of the House of Common.
6) At/in Shakespeare's times (are both possible?)

Re-read and simplify. Make sure every pronoun has a clear antecedent.

http://grammar.ccc.commnet.edu/grammar/pronouns.htm

Then choose the 3 or 4 you have the greatest concerns about.

Both "at" and "in" can be used in this context, but they slightly change the meaning of the sentence.

If you use "at" in this sentence, it implies a specific moment or point in time. For example, you could say "At Shakespeare's times, Elizabeth I was the ruling monarch." This suggests that you are referring to a specific period during Shakespeare's lifetime.

If you use "in" in this sentence, it implies a broader time frame or era. For example, you could say "In Shakespeare's times, theater was a popular form of entertainment." This suggests that you are referring to the general period during which Shakespeare lived and worked.

So, both "at" and "in" can be used, but the choice depends on whether you want to refer to a specific moment or a broader period of time.