Your letter is okay. Note just a few suggested changes in RED below:
It's been ages since I last wrote to you, but I was busy preparing for my final exams. Anyway, I decided to drop you a line to express my happiness because I am about to meet my dear cousin.
I miss you so much and I am dying to see you. I hope you are safe and sound. I can't believe I can see you again after 6 years studying abroad. I'm on cloud nine. I was about to jump for joy when you found work here in my city.
I am sure you would be amazed to learn that I have joined the swimming club.You know how frightened I am of water, but my coach helped me until I learnt how to swim well. As you can imagine, I was terrified at the beginning, but with hard work and practice I did it. I also took part in our school play. I don't need to tell you how excited I was when I won the best actor prize.
When I meet you, we will have our dinner in a new Egyptian restaurant. I am sure you would love it as I know what kind of appetite you have. Then we will go to our old school to renew our memories and to shake hands with our teachers and manager.
Looking forward to seeing you my beloved cousin,
- For Teachers