Dear Jasmin, It's good to hear from you after a while, and I completely understand your interest in finding a job here in London. Luckily, a week or so ago I came across a teaching position that might be a good match for you considering your interest and skills.
Dear Chen, I hope you and your parents are doing great! It’s been a while since we last caught up, and I was really glad to receive your letter.
Dear Julian, I'm so glad to hear from you after such a long period of time since we both graduated from university. From your letter, it sounds like you've been quite busy travelling to some parts of Europe and doing a couple of part-time jobs.