Q: If But possibly this is an old will?, can we say that "But there is a chance this is an old will?"?

A: yes

Q: If I told him I didn't have any new material., can we say that "I told him that I do have new information"?

A: no

Q: If Think of the Briefing section as your quick hit on the day's and week's news., can we say that "They only listed monthly updates."?

A: no

Q: If at this site., can we say that "There's a spy at this site."?

A:
it is not possible to tell