Question

1 Zamień na styl nieformalny;
How are you ? I apologise for the fact that I haven't written for a considerable time, but I have been extremely busy. Anyway, I tought I had comunicate with you briefly to inform you that I have just passed my driving test.

Well, I have no further news at present. Please reply promtly- I am anxious to learn what your recent activities have been. Take care.
Yours sincerely,

Answer 1

How are you? Sorry that I haven't written for a long time, but I have been really busy. Anyway, I thought I had to contact with you to let you know that I have just passed my driving test.
Well, that's everything what's new. Please, write back soon. I'm curious what's new over there. Take care.