I am sorry it took so long to write you but I have been very busy! I hope you are well and you came home safely.
I would like to thank you for a very nice evening and night!
Hope to hear from you.
唯一引っかかったところは
I hope you are well and you *came* home safely.
カナダ人やアメリカ人だったら、
I hope you *made it* home safely
か
I hope you *got* home safely
というのが普通かな。