I don’t think it is a good idea to write something for him that is that much more articulate. I would just take out the parts where he seems to say he had intention. And leave the incoherence, which truly supports the arguments of the appeal.
So to the original poster, If it is really true that this was a mistake based on lack of knowledge, I would write it like this:
To Whom It May Concern,
My name is xxx, I am a first year transfer student, and it was recently discovered that on xxx that I had false attributions and fabricated quotations in my final paper for “xxx”.
First, let me state that I now understand just how serious plagiarism is. As a first-year transfer student, I began my studies in the lack of knowledge in plagiarism, and I was listened to my TA for quoting words, even I quoted my own words just because TA requires, I did so because I did not ask for clarification so I just quote my own words into an article which has similar idea as what my thoughts are. However, I admit that I was guilty of this kind of action just because I was being shamed to ask TA to clarify. Through out the paper, I researched so many useful sources and I quoted everything I searched on the web in the paper. However, for some of them, I was not sure what article to quote, so I put them under a source name which has the similar background as the quote means. Again, I still should ask my TA or instructor for clarification on how to correctly quote, and I understand the serious aftermath it leads to.
Although my error was unintentional I can’t deny that it happened. The lack of communication with my TA or instructor leads to this kind of situation I am having right now. I now understand how serious plagiarism is and I deeply regret my actions. I should have better cited my sources and ask my instructor or TA for how to correctly cite sources, and I should not put the quote under the source which it does not belong to.
At the time I was finishing my final draft for the paper, I had been diagnosed as testicular cancer and I was having many sorts of scans and diagnoses every day till three months ago, so I just had my surgery a three months ago after the winter quarter ended. I was really having a bad time and I did not ask TA or instructor for clarification because I was at the hospital so often after I had been diagnosed.
I now feel truly regret what I did, and I promise I will ask any question or quoting to my TA or instructor to prevent this kind of mistake happens again.
Please accept my most sincere apology for a lapse in judgment and lack of experience at the beginning of my academic journey.
ps if this sentence is true: “This was an act of plagiarism, though I wish I could claim this were an error on my part, I knew at the time that what I was doing was wrong” then please disregard my version above, which is based on your other statements that it was not intentional and based on lack of experience.