Текст / Письмо другу (на англ.)

Dear Kate,
thanks for you invitation. I’m very glad to receive it. I’d be very happy to celebrate New Year’s Eve with you, but I can’t. I have already promised to celebrate New Year’s Eve with my parents and my granny. we are flying to New York to my father’s sister on the 2nd of January. my parents have already booked the tickets. we are planning to come back on the 6th of January. then we will be able to meet and hand out.
Please, don’t take offence at me.
I wish you a happy New Year and have a great time.
yours,
(имя)

Hello, Anton. It’s been half a year since you moved to another city. Since you left a lot in the class has changed. Since the first of September three new students have come to our class. Two girls and one boy. One girl is engaged in ballet, the other goes to music school. But the main acquisition of our class is Sergey, he plays football very well. So now our team has become stronger. Next time, when you arrive, we will definitely play together.
And more recently our class sick, even in the hospital lay. We visited her all class. After 2 weeks, she was cured and allowed to go to work.
In early September, the school was "Charging with a star." It was led by the Olympic champion. And a basketball court on the street was repaired, painted shields and rings.
Come quickly, we are bored with the guys.

Дорогая Анна 
К сожалению я не написала так долго, потому что я прекрасно провела время в Лондоне. Мне понравилось в Лондоне. Особенно мне понравилось ездить на двухэтажном автобусе  и черном такси. Я мечтала о моем путешествии в течение длительного времени. Я была  в отеле  в течение нескольких недель. Теперь я дома, и я хочу с тобой встретиться. Когда мы встретимся, я расскажу тебе  о многих интересных вещях, которые случились со мной в Лондоне. Наилучшие пожелания. Люблю♥, Маша
Dear Anna,
Sorry I haven’t written for so long because I had a great time in London. I liked it in London. Especially I liked to travel by a double-decker bus and a black cab. I had been dreaming about my journey for a long time. I had been staying in a hotel of London for a few weeks. Now I am at home and I want to meet with you. When we meet I will tell you many interesting things that happened to me in London.
Best wishes, Love♥ Masha 

Итак, для начала в правом верхнем углу надо написать адрес.
Например:
115 fl. Voronova st.
Moscow (рядом индекс)
Russian Federation
письмо:
Dear.
Thank you for you letter. Sorry, I have not written to you for so long. I was busy my studing.
You asked me about my sport hobby. Well, to tell the trought I do not go in for dports, but I like to watch figure skating on TV. It is so interesting, exiting and beautiful. I look for away the winter Olympic games in Sochi. By the way, I am a fun of Irina Slutskaya.
I have say goodbye now because I have much to do. Drop me a line soon. Do keep in touch.
Best wishes,
.(твое имя)
вот и все
я думаю что с переводом проблем не будет, если что-спрашивай

А что конкретно значит передать в третьем лице? Если это значит написать диалог в Reported Speech (косвенная речь), то надо переделать речь в косвенную речь, согласно правилам косвенной речи в английском языке.
Indirect Speech: We took the subway to the city centre.
Reported Speech: They said they had taken the subway to the city centre.

Первое предложение.
1) Запятая перед if не требуется;
2) Перевод предложения на русский не совпадает с оригиналом. Перевод предложения с английского: "Получил бы ты письмо, если бы Дима отправил его прямо сейчас?". Перевод на английский перевода, который был написан вами, — "Would you be able to receive the letter if Dima sent it right now?".
Второе предложение.
1) В оригинале не написано про то, что он написал текст, а в переводе предложения на русский "текст" присутствует;
2) Mom — американский вариант; не надо его использовать. Вариант британского английского — mum.
3) Первая часть предложения относится к прошедшему времени, поэтому должна быть в Third Conditional, а не Second Conditional. Правильный вариант: If I hadn’t written the text, my mum would be angry now.

           (пиши свой адрес, так как это - пример)    Ivanova st                                                                              
                                                                           Moscow
                                                                           Russia
                                                                          7 February, 2014 
Gear Sonya,
It was nice to hear from you again, thanks for your latter!
Well, in your letter you asked me about the date of my birthday and the ways of its celebration. As for me, I have my birthday on the 4th of June (свое). That’s really cool (isn’t cool) I have it when it is summer (winter), as its kinda warm (cold) outside and I can (can’t) go to the park with my friends to walk there. (с зимой точно так же) We have many food on the table in my house, we listen to music and watch different firms, then we have competitions and go for a walk, we have a great time together! In the evening me, my dad and mom have a birthday dinner. 
So, I’d better go now as I have to do my homework. Write back soon!
       Love, (твое имя)

Ну первый вопрос из трех- when is your birthday? Когда твой день рождение. Пиши my birthday is (и число твоего дня рождения) how do you usually celebrate it? Usually, I am celebrate my birthday in my home with my perents(это ответ-я обычно праздную день рожденье дома с родителями) и третье что бы ты хотел получить на свое следующее др-I wanna get a radio car, with blue color) ( я хочу получить синию машину на радио управлении) не забудь оценить ответ

  Hello, Jake. Thanks for your letter! As soon as I have received it I start writing to you. Now I live in Tomsk. My new address is flat 24, house 5, Telmana sreet, Tomsk. My room is big and light. There is a sofa, a desk, a wardrobe in my room. There is a carpet on the floor. There are some posters on the wall. I need only a TV set and a music center. I hope my parents will buy it soon. Do you have a room of your own? Do you have a TV in your room?  Do you invite your friends to your room? Sorry. I have to go. I must help my mother.   Best regards, …………….  

I love лето. Летом hot and I like. I love to walk on городу. Один times when I was walking, I found someone’s trademark on the асфальте. С the мамента I collect brand а I love to swim.                                                                                      я люблю лето. Летом жарко и мне это нравится. Я люблю гулять по городу. Один раз когда я гуляла я нашла чью-то марку на асфальте. С того момента я собираю марки. А еще я люблю купаться

Hi, John!
I apologize for not replying to you. I didn't because I'm busy with studying.  I'm preparing to the exams. We're having English, Russian and Maths exam. I think the most difficult exam is maths exam. But i do my best to prepare to it. It's very important for this moment.
You know, I'm going to England after the exams to practice the English language. But I worry it'll be difficult to adapt to Englishman's life. But anyway, I'm sure it'll be a wonderful experience in my life. People should develop their skills, and i think I'm not an exception. Could you be kind to tell me what difficulties i can expect in England?
With the best wishes,
P. S каждый может перевести по-разному. ) я бы так написала. Но если от вас по примеру требуют.