One possible version:
March 8,2010
Dear Peter,
I’m glad to receive your letter asking for my advice on how to learn Chinese well.
Here are a few suggestions. First, it is important to take a Chinese course, as you’ll be able to learn from the teacher and practice with your fellow students. Then, it also helps to watch TV and read books, newspapers and magazines in Chinese whenever possible.
Besides, it should be a good idea to learn and sing Chinese songs, because by doing so you’ll learn and remember Chinese words more easily. You can also make more Chinese friends. They will tell you a lot about China and help you learn Chinese.
Try and write me in Chinese next time.
Best wishes,
Li Hua
略