Lady Macbeth isn't anxious to have Duncan at Dunsinane. Dunsinane is the palatial residence where the Macbeths live after they are crowned King and Queen of the Scots. King Duncan is killed at the previous residence of the Macbeths, at Inverness. And the murder of the King is exactly why the Lady seeks, and then delights in, his presence in her home [Act 2 Scenes 5-7].
The reaction between Lady Macbeth and Macbeth is initially very different after they kill Duncan. Lady Macbeth is enthusiastic but Macbeth regrets his actions.
The night of Duncan's murder he is spending the night at MacBeth and Lady MacBeth's castle.
Lady Macbeth
father
Lady Macbeth says king Duncan resembles her father, so she encourages macbeth to murder him.
duncan
Duncan gave Lady MAcbeth a diamond, he let his servants serve her, at her house. Duncan gave Lady MAcbeth a diamond, he let his servants serve her, at her house.
Both Macbeth and Lady Macbeth worry about it. She says, "Why did you bring the daggers from the place?" when Macbeth fails to leave them there. She wants them left to incriminate the guards. But Macbeth worries that they may not incriminate the guards enough, so he kills them.
NO! Lady Macbeth does not kill king Duncan's Guard Macbeth does to prove his guilt.
Lady Macbeth
because king Duncan looked alot like lady Macbeth's father.
Lady Macbeth talked Macbeth into killing his cousin, King Duncan of Scotland, who was a guest in his house at the time.