If you start at the top post on this page, you will actually be reading the LAST post first.  If you want to read the story in chronological order, you should go the the very last post and start there.

But really because of the fluid nature of this medium for story telling, you can look at The Last Call as a sort of choose-your-own-adventure story where you can drop in in any thread you like.

You can just skim the high-level posts, or you can go deep down the rabbit hole and learn more about the characters and their back stories.

The choice is yours.