Prof. Lupin explains to Harry in the Shrieking Shack that he was looking at the map when they went to meet Hagrid before the execution of Buckbeak. Three people went in, but four came out. Why didn't he see Pettigrew's dot (as Scabbers) inside Hagrid's cabin? I do not think Hagrid's hut was unplottable, because even the insides of the castle aren't. Even the Professors' personal study rooms are visible (Harry was relieved to see Prof. Snape back in his study, I don't remember which book, though; maybe Prisoner of Azkaban).
But my main question is, when the Harry/Ron/Hermione come out of Hagrid's hut with Pettigrew, the Harry/Hermione pair from the future were hiding nearby, close enough to be able to see themselves (their past versions) coming out of the cabin. Given the size of Hogwarts and the scale of the map, shouldn't both the past and future versions appear relatively close to each other? Shouldn't someone watching the versions come out of the cabin see the ones hiding near the forest as well?
Incidentally, would the map show Buckbeak too?