It took about an hour to write this note.

Since joining to italki, I knew the short of my English skills deeply became more aware of the inadequacy of my English. Currently, I take about an hour to write a note. If I continued my effort, I would will surely be able to shortened this time. 

Sometimes, my wife will become angry with me, then she will say, "Why don't you take some time to speak to me?!" (Of course, I have took taken the time to do so, but I have shortened a time surely the time which I spent talking with her, apparently was not sufficient for her.)

...I'm sorry, it was because I would like to improve my skills. I will make it up to you, so I am begging you to forgive me.

Hello Masa, I would be most delighted to assist you.

1) The first thing would be the title. Jeff suggested, "It took me." The "me" Jeff suggested is correct, but ommitting it in this context is not necessarily wrong either.

2) "A note" should be "this note," because in view of the context, you appear to be referring to this particular note, hence the reason why "this" ought to have been prefixed to the word "note," to cause it to read "this note." Render it as "the note" is contextually, far less accurate. If it happens to be the case that your reference is towards all your previous notes, inclusive of this one, then the entire title must be changed to "It takes me about an hour to write a note," however, if the title is referring particularly to this note, then the former ammendment may stand.  

3) The phrase, "Since joining to italki" is slightly unnatural. The "to" is not necessary here. I am very sorry Masa, but the phrase "I knew the short of my English skills deeply" is unnatural to a great degree. Jeff's suggestion, "I became very aware of my poor level of English," is grammatically correct. I also suggest the equally acceptable, "I became more aware of the inadequacy of my English."

4) The statement, "Currently, I take about an hour to write a note" requires no correction at all. It is accurately written. 

5)  The past tense "continued," in the phrase, "If I continued my effort," implies that you have given up learning English. If that is not true, then I suggest "continue" instead of "continued." It would then follow that if we change "continued" into "continue," then "would" is better rendered as "will."

6) Jeff's suggestion, "this time will surely be shortened," is again correct. I suggest the equally acceptable rendering, "I will surely be able to shorten this time." 

7) I recommend changing "Sometimes, my wife angry me," which is a difficult statement to understand, into "Sometimes, my wife will become angry with me." I am sorry Masa, but the phrase "my wife angry me" is syntactically lacking. Someone previously suggested the word "upsets." This is only right, if you are describing your wife to be the cause/reason of your anger, however, if you meant to say that you are the cause of her anger, because of her perception of the lack of time that you spend talking with her, which your context also heavily implies; if this is the case, then Jeff's suggestion is more correct than the suggestion which preceded his suggestion, however, Jeff's suggestion is still incomplete, because "will be angry me," would only be correct as "will be angry with/at me."

8) In English when quoting someone's words, it is customary to expressly state so, by using the term "he said," "she said," "he will say," or "she will say" based on the context. In this context, "she will say" is acceptable. Alternatively, the phrase "then she always says," would also have been acceptable. Although, "then she always says," is right, this forces the former "Sometimes, my wife will become angry with me," to read "Sometimes, my wife becomes angry with me." This is due to the fact that the tenses in the statement, in this case ought to agree one with another.  

9) Jeff's suggestion, "Why don't you find time to speak me!" is almost correct, but it should be "Why don't you find time to speak to me!" It is also possible to say, "Why don't you take some time to speak to me?!

10) If you want to use a conjugation of the word "take" in your phrase, "Of course, I have took a time to do," it can be done as long as it is the correct conjugation. In this case "took" is the incorrect conjugation, but the rendering "Of course, I have taken the time to do so," would have been correct. Using Jeff's "Of course, I have made the time to do so," is also acceptable. Omitting "to do so," although it is still understandable, it is in my opinion, slightly unnatural.

11) I am again very sorry Masa, but phrase "but I have shortened a time surely" is syntactically incomprehensible, i.e., it is almost completely impossible to understand. At this stage, a person can only offer up pure speculation as to the intended signification. In this case, I agree with Jeff's suggestion "but it wasn't long enough for her," or the alternative phrase, "the time which I spent talking with her, apparently was not sufficient for her."

12) Jeff's suggestion "I am sorry honey" is acceptable if talking to your wife. I recommend using it only in reference to your wife, or a young daughter of yours. This term "honey" used in reference to any other person, sounds extremely bad, but in Jeff's suggestion it is perfect. 

13) The phrase "I am begging to forgive me" may either be rendered as "I am begging you to forgive me" or "I beg of you to forgive me." Either one is acceptable, but Jeff's suggestion, which I similarily prefer, is the more common expression. It is simply a matter of personal preference in this case. 

It took me about an hour to write a note.

Since joining to italki, I knew the short of my English skills deeply.  I became very aware of my poor level of English.  Currently, I take about an hour to write a note.  If I continued with my effort,I would shortened this time will surely be shortened.

Sometimes, my wife will be angry me.  "Why do you take a time to don't you find time to speak me!"

(Of course, I have took a made the time to do so but surely it wasn't long enough for her. I have shortened a time surely.)

...I'm sorry honey, I would like to improve my English skills. I will make it up to you, so I am begging you to forgive me.

See http://www.italki.com/knowledge/page/Mechanics%20Of%20The%20English%20Language.htm for your punctuation errors.

It took about an hour to write this note. (maybe you wanted to say about this particular note then you should say "this note" or "the note").

Since joining to italki, I knew the short of my English skills deeply.Currently I it takes about an hour for me to write a note. If I continued my effort,I would shortened (what do you mean my this verb? you mean you would make it faster?) this time.

Sometimes my wife angry me (maybe it is better to use "upsets"? if you want to use the word angry then it is better to say "my wife makes me angry" but you better not to say such words about your wife =))))."Why do you take a time to speak me?!" "Why does it take so long for you to speak to me?"
(Of course,I have took a time to do.but I have shortened a time surely.) do you mean you wrote this note faster this time? 
...I'm sorry,I would like to improve my skills.I will make it up to you,so I am begging to forgive me. this must be something personal, isn't it? maybe words you wanted to say to your wife?

corrector's notes - practice, practice and practice and use the subjects you like, write about your hobby or about your day, or about your family, home. it is easier to write about things you know so well =) thank you for your note, Masa.