Конечно! Вот исправленный текст с использованием формы Present Perfect для всех временных конструкций:
Hello, Boris. I hope you are enjoying your holidays in Australia. Everything is fine at home. Alice has received the exam results from her school recently. She has gotten the highest possible points among all the children. Aunt Anny has sold her old car and has already bought a new blue one. Mother has already planned our next weekend holidays. We are going to the aqua park. Father has been to India twice since the time you left. He has so much to tell you. And I have received a confirmation letter about my internship in the law firm. So everything is good. Come home. We miss you.
Если тебе нужно более подробное объяснение по использованию Present Perfect или по конкретным предложениям, скажи!