Sure! Here’s a possible completion for the email:

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Hi Julia
How's everything for you? You know, I’m so excited right now. My school has just told us that all students [1] **will** have a day off next Monday. For this long holiday, Mum has decided that our family [2] **is going to** travel to the beach. I think it [3] **will** be an exciting trip.

You [4] **shall** come to visit me next month, won’t you? I’ve just received an email from Michael this morning. Did you know that he [5] **is going to** join a music competition next month? I was surprised because he always seems shy. [6] **Shall** we come to cheer him up? I think he will be happy to know that you [7] **are going to** also come.

Let me know,
Anna

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Feel free to adjust any parts if needed!