Is there a place to sit and have food and drink while waiting for a passenger to arrive

No unfortunately there are no places like that outside of what is offered passed the tsa checkpoint

I believe there is a Starbucks in the baggage area of the old terminal,but I am not 100 percent sure

If you bring your own then you can wait in the cell phone area.

It did not see anything until after TSA

If you mean outside the terminal there are a couple tiny spots, but nothing with waiters