I feel 'while' would be the connecting word here. Without it the sentence flops and it helps add onto it with the extra sentence part.
I sharpened your pencil. You were away.
'While' should be the conjunction.
Answer:
The last one is not a clue to suggest this. (The paw moves in Mr. White's hand.)
Answer:
It's that Lincoln was mysterious because he was secretive about his private life
Explanation:
Hope this helps :D