Is there a parking space for shuttle buses to park close to the terminal and wait for the arrivals so I don't have to circle around .

There's a cell phone parking lot that could accommodate

Yes

There are also rental cars beyond the terminal where you can pick up and drop off cars.That is where we parked for a short time,to go into the airport and extend our rental car for another day.

yes west side of the terminal, with entrances on both sides of the lot