I was anxiously expecting your letter, and at last it has reached me.
我很期待你的来信，最后我终于收到了。
I am very glad to know that everyone at home is enjoying good health as usual.
得知家里每个人身体都健康我感到很高兴。
Things here are the same now as they were before. Don't worry about me.
现在这里的一切和以前一样。不用担心我。

The final examination will take place next week. So I work very hard to prepare my lessons, and I believe that I can do well in the final examination.
下周就要进行期末考试了，所以我努力做准备，我相信我能在期末考试中取得好成绩。
It's nice to think that the summer vacation is coming near.
想到暑假就要到来了就觉得很高兴。
I can't say how much I want to see you all.
我说不出有多想念你了。
I am looking forward to spending summer days with you.
我希望能和你一起度过暑假。
Give my love to father, mother and everyone at home.
请代我向爸爸妈妈以及家里的每个人转达我的问候。