Mmmm, regarding AMADEUS, I don't think it's available on the web. It connects itself to the airlines reservation systems, but...
Honestly, all the computers at work are connected to a huge one in Zurich, which handles all the transactions. No internet connection is required, only network connection to the main computer.
But, I'm mostly working with the DCS (same thing here).
Anyway, good luck on the code, they took a lot of years to build DCS and PARS (PARS gives us access to the airline database we need. Amadeus connects itself to the PARS).
For the website, look around, have a look at the source code, try google. You should find some basic tutorials.