Конечно, я помогу написать письмо Питеру на английском. Вот пример:
Dear Peter,
I hope this letter finds you well. I wanted to write to you to share some thoughts and updates on what I have been up to lately.
Firstly, I have been working hard on my studies, and I am really enjoying my classes this year. Mathematics has become one of my favorite subjects! I find the challenges exciting, and I'm learning a lot.
I also wanted to ask how things are going for you. I remember you mentioning your interest in sports. Have you played any games recently?
Looking forward to hearing from you!
Best wishes,
[Твое имя]
Эти строки можно адаптировать по желанию, добавив личные детали или изменив темы разговора. Надеюсь, это поможет!