Is there a place to park while waiting for plane arrival in order to pick up passenger--a "cell phone" area?

Yes there is. It is at the southwest corner of Belvedere and Florida Mango streets. Very easy access to the terminal. PBI agressively keeps the traffic moving. The only time to sit by the terminal and wait is late at night on the Departure level (Don't tell anyone my secret ;c)

Yes, take the turn for economy parking. Tha cell phone lot is after the round-a-bout.

Not on the grounds of the airport unless you keep circling around

Florida Mango road and Belvedere road. Behind the dunkin donuts and 7-Eleven is a cell phone waiting lot.