Is there a special place to pick up arriving customers from LAX? Or is it the terminal

There are signs outside of the baggage area for the flyaway .

Yes. Just when you get outside, look for a "sign Fly Away ..

Yes..

Outside the baggage terminal there is a station for the flyAway

Yes there is,once you get out of the airport find the sign flyaway in one of the columns outside you can't miss it. You dont leave the airport it's just outside. You might have to ask a worker

Just the terminal