Just a quick heads up because EZE arrivals are a bit of a nightmare because of the construction.
I was there this morning incoming from JFK and, while immigration and customs were fine (possibly because our AA 953 arrived with its traditional 2 hour delay, so we got there after the morning rush hour had ended), the exit from arrivals to the parking lot is closed and the only way out of the airport is through the departures area at Terminal A. The Taxi Ezeiza booth has also been moved from its usual location to a newer one next to the McDonald's.
The new terminal is due to be inaugurated in one or two months, so expect more changes in the coming weeks.