Actually, it is the unit furthest away from a home supply center, in case of a tie, fleets before armies, and if still a tie, then alphabetical order.
And yes, Azogar, there currently is a problem with this website's code. But that isn't the question that was posed.
DJ, if they haven't brought the game up, then under their name at the bottom it'll say "Missed last phase" or something like that. But if they have brought the game up, I don't think you can tell.
Would be nice if the order log had something to differentiate. And maybe it does, I don't know for sure.