I've never heard the phrase "passport checkstand"; the word for the area where your passport is checked is called "passport control" in every airport I've ever been to.
It's odd that we usually talk about the "departure lounge", but the "arrivals hall". The explanation, such as it is, is that we often use "arrival" to refer to a person who has arrived: that is, an arrivals hall is a hall where people who have recently arrived and passed through customs and passport control find themselves in.
We cannot use "departure" in the same way; it can only ever mean the act of departing. A departure lounge is the place from which people depart.
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