@milimi,
There is a lot of artistic license going on with this song. Your French-English teachers interpretation would be the farthest thing that I would have thought of. "Living it up" can mean having a party, going on a shopping spree, or a night on the town. I don't think the Eagles had any deep meanings embedded in their lyrics. That song just struck a familiar note with listeners when it was first released and it's still very popular.
The word alibi usually means have excuses ready if you have to account for your time.
Champagne on ice means champagne served in a bucket of ice to keep it chilled, it doesn't mean you drink it over ice. It's an normal expression to say we have beer and wine on ice, it just means it's keep chilled in a container of ice.
#4. Your guess is as good as mine
#5 & 6. Are hotel references, when you check out, you pay and leave
Programmed to receive means they have a method to accept reservations
The entire song is supposed to be a mystery, it can mean whatever it means to you. You can google Eagles interviews and they occassionally are asked what that song means. There are many veiled drug references, and as much as enjoy the music I don't believe there is only one explanation for the meaning of the lyrics.
You should check out "life in the fast lane", that's more about drugs and a wild, reckless lifestyle.