Lady M is all for it but Macbeth is unsure and has to be pushed into doing it. He then immediately regrets it.
duncan the king of scotland
You'll have to rephrase this question, I'm afraid. Macbeth doesn't require Duncan to do anything. Duncan is the king, remember.
Duncan is his cousin. Duncan is his king. Duncan is his guest. If he murders Duncan, he invites others to murder him. Many people like Duncan for being a nice guy and will be angry when he is killed.
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].
Macbeth kills Duncan in his own castle at night time.
Macbeth is King Duncan's cousin as well as a general of the king. Later into the play, he becomes king.
Because she is determined, she wants Kind Duncan dead because she wants Macbeth to be King.
Duncan shows his affection for the Macbeths by giving them gifts. In particular he gives Lady M a jewel.
No, Macduff was not the king of Scotland. The title of king of Scotland was held by Duncan at the beginning of Shakespeare's play "Macbeth," and later by Malcolm after overthrowing Macbeth. Macduff plays a key role in helping Malcolm reclaim the throne but he himself does not become the king.
She was excited, obviously, and worried that Macbeth would not want to become king by the most obvious method--by murdering Duncan.
Macduff was first to find out about the murders of King Duncan I [d. August 14, 1040] and the two royal guards. He stopped by the Macbeths' home at Inverness Castle. He previously had arranged with the King to pick him up and accompany him to the next stop on the royal journey. The nobleman Lennox was with him. But only Macduff went to Duncan's room. There, he found bloodied corpses and bloodied crime scenes.
King Qaboos