I think this place is the airport exit. People are waiting here.

I think this is the arrival hall. 
入境大廳是arrival hall，出境大廳是departure hall。 Exit應該是整個機場的出口。

There has a schedule about…you can see when the flight comes and when the flight goes.

The board is showing flight arrivals and departures.

There is a flight schedule board showing arriving and departing / taking off flights.

There are many pick up man waiting for their bosses.
沒有pick up man這種說法，說driver就可以了。

There is a family with a baby.

The mother is checking whether the baby stroller was damaged by the cargo staff.

一個媽媽在檢查嬰兒車有無被搬運工損傷。
嬰兒推車的英文是baby stroller，不要直譯為baby car。