what does "Secretary of State Rusk"mean?
【Instead of the distraction Powers would have provided, his office was invaded by a delegation from the Poultry and Egg National Board, lugging the President's annual Thanksgiving turkey and shepherded by that master carver, Senator Everett M. Dirksen of Illinois. They were followed by other appointments: the U.S. Ambassador to Ghana, a conference of ninety state educators, Secretary of State Rusk, the U.S. Ambassador to Indonesia, and —another secret project—Pierre Salinger.】

1.what does "lugging the President's annual Thanksgiving turkey and shepherded"mean?

2.Is "Senator Everett M. Dirksen of Illinois" the "the master carver" who lead the delegation from the Poultry and Egg National Board?

3.what does "Secretary of State Rusk"mean?I see, "Secretary of State Rusk" is "David Dean Rusk"John F. Kennedy unofficially spares a turkey on November 19, 1963. The practice of "pardoning" turkeys in this manner becomes a permanent tradition in 1989.

[could it explain Q 1? but I am still not quite understand it. ]

Question

what does "Secretary of State Rusk"mean?
【Instead of the distraction Powers would have provided, his office was invaded by a delegation from the Poultry and Egg National Board, lugging the President's annual Thanksgiving turkey and shepherded by that master carver, Senator Everett M. Dirksen of Illinois. They were followed by other appointments: the U.S. Ambassador to Ghana, a conference of ninety state educators, Secretary of State Rusk, the U.S. Ambassador to Indonesia, and —another secret project—Pierre Salinger.】

1.what does "lugging the President's annual Thanksgiving turkey and shepherded"mean?

2.Is "Senator Everett M. Dirksen of Illinois" the "the master carver" who lead the delegation from the Poultry and Egg National Board?

3.what does "Secretary of State Rusk"mean?I see,  "Secretary of State Rusk" is "David Dean Rusk"John F. Kennedy unofficially spares a turkey on November 19, 1963. The practice of "pardoning" turkeys in this manner becomes a permanent tradition in 1989.

[could it explain Q 1? but I am still not quite understand it. ]

Answer

1. Carrying the president's turkey and led and kept in a group by shepherded by 
Senator Everett M. Dirksen of Illinois (that master [turkey] carver)
[At thanksgiving, carving (cutting up) the turkey is a big ceremony]
2. See the above answer
3. Dean Rusk was the Secretary of State under Kennedy.

One turkey is pardoned by the president in a ceremony.  It gets to live.  The turkey they are talking about here is an unlucky one - it has been plucked and will be cooked.