have you ever been an exchange student

They are all right. Drop the superfluous "me" in the word "program(s)."

You don't want to be writing like a Brit.

Thank you~

Are there alternatives of expressing the same idea?

If your chosen variety of English is the UK/British Commonwealth one, or you are writing for an audience who uses that, (not just "Brits") then you do want to be "writing like a Brit".