Take a look at PilotEdge. It is as real as it gets. The only drawback is that it covers the SoCal area only but you will find every type of available airspace in that area. They do it by the book and you will learn a ton.
The antennas are used to connect the client PC to the wireless router. They should play no role in the internet bandwidth but remember you are only as fast as your slowest connection so if you are 10m to the router and 20m from the router to the internet then your connection from your PC to the internet will be 10m.