Please help me to correct my notebook entry?thank you very much!

Recently,I am studying the common law system .And I would like to write some conclusion about it. 

First,I 'd like to tell you about the bodies of the law.there are three major group of legal system.they are the common law,civil law and Islamic law. And cause the mixture culture ,so there are of course mixed system.A further difference about the civil-law system and the -common -law system is the different court system, in the common law countries,they are major in adversarial system,and in the civil law countries,they mostly like to use the inquisitorial system.And here I would like to add an appoint that China is social legal system.
Secondly,I ' d like to tell something about the types of law. As we all know that law has hierarchy,so it is formulated by different organizations.and there are tour main types of law.they are statute/code,ordinance/ by-law,regulation ,directive.
Thirdly,I will tell you something about the types of court , the documents and the persons in court .ok about the types of court ,three main types may be got!they are supreme/high,appeal ,lower court. The documents in court are divided into two parts,they are pleadings(which includes complaints,answers,petitions and motions.) and injunction(which means that the court send out a writ to individuals to refrain from doing something..The last point is about the persons in court. As we all know that advocate is the lawyer for both parties!and in British they have difference between solicitor and barrister,but in US they actually have no difference ,they call lawyer attorney.In China ,we divide different lawyers by their experience and his ability!
And for the last point ,I want to say is that for the reason of history ,The documents may seem to be a little hard to be understand by us! Such as Latin English ,French English !but French influences english is far more than Latin .
Thank you to correct my notes!It' s very nice of you!and good luck to you all!

Generally speaking, always include a space after a punctuation mark (. or , or ! or ?) Do not include a space before a punctuation mark. 

Do not address the reader as you know the reader personally unless you are writing to people you know.

Do not assume that reader knows the subject that you are writing about, unless you are referring to a group of professionals who know your field. So don't say things like (as we know ...)

The other notes that I have we can discuss at our next language exchange.

Here is my corrections of your original.

Recently I have studied the common law system and would like to write some conclusion about them.

Firstly, I'd like to write about the three bodies of law: common law, civil law, and Islamic law. Because of mixture cultures, most countries have mixed system. A difference between the civil-law system and the -common -law system is the different court system. In the common law countries, there are adversarial systems, and in the civil law countries, the use of inquisitorial systems are common. By the way, China, my homeland, has a social legal system but I digress.

Secondly, there are many types of law. These laws have hierarchies, so they are formulated by different organizations. And there are four main types of law: statute/code, ordinance/ by-law, regulations, and directives.

Thirdly, there are different types of court systems: supreme/high, appeal and lower courts. The documents in court are divided into two parts: pleadings (which includes complaints, answers, petitions and motions) and injunctions (which refer writ that courts send to individuals to refrain from doing something).

Finally, there are the lawyers who advocate for both parties who have disputes! In Britain, lawyers are referred to as solicitors or barristers, but in US, no distinctions in types are lawyers are made; except some lawyers prefer the term attorney. In China, lawyers are divided by their experience and ability! But again, I digress

Thank you in advance for correcting my notes! Good luck to you all!