Lupin looking at the Marauder's Map

[Robert Jones]

No: HPFGUIDX 97023

Two questions about Lupin looking at the Marauder's Map on the night 
of the climax of POA.

(1) Why didn't Lupin see two sets of Harry and Hermione on the Map?  
The second set (time- traveling H and H) appeared before the first 
set went down to Hagrid's hut, and the second set left the castle 
before the first set started leaving under the Invisibility Cloak 
(which Lupin said he would see through).  Or did Lupin see two sets 
of H and H's?  Maybe McGonagall told him about the time-turner (from 
the scene at midnight in the infirmary, it is apparent that Snape 
did not know about).  Or did he just happen to look at the Map at 
that small period of time when time- traveling H and H were in the 
Forbidden Forest and pre-time-traveling H and H were walking back 
from Hagrid's hut?  That seems a little too fortuitous.

(2) Why didn't anyone see Peter Pettigrew in Hagrid's hut on the 
Map?  Is the hut on the Map?  At least some of the grounds are on 
the Map, and Lupin said that after H, R, and H left the hut he saw 
Peter.  So the hut sounds like it is on the Map or else how did 
Lupin know that was where H and H were?  Can't you see into the hut?

I know this was discussed before, but as usual I can't find it.  
Could someone direct me to the thread or threads?