He's become a tyrant who has left people in fear of what they say. He's started losing all sense of guilt for what he's done to Banquo and Duncan, which he shows by killing Macduff's family.
He's still weak because of his reaction to Banquo's ghost but after seeing him he begins to feel better because he believes he has put his ghost at rest and is no longer haunted by Banquo. Also, you can say Macbeth created Banquo's ghost in his imagination because he feels the guilt (he can't bring himself to say he's murdered Banquo) and until he can admit what he's done, that's when his feelings of guilt and remorse deteriorate
Macbeth persuades the murderers to kill Banquo and his son
so they will sleep through kind duncan's murder.
The theme of manliness, which Lady Macbeth used in Act 1 Scene 7 to persuade Macbeth to do the murder, reappears in this scene. Lady Macbeth hopes to make Macbeth behave according to her wishes by questioning his manhood as she did before: "Are you a man?", "these flaws and starts . . . would well become a woman's story . . .", "Quite unmann'd in folly?". Macbeth buys into it: "protest me the baby of a girl", "I am a man again." But what Macbeth is dealing with is far too powerful to be controlled by this kind of talk.
Lady Macbeth totally sucks Macbeth's dick right now.
Lady Macbeth
Macbeth was a loyal vassal of King Duncan. Macbeth's act should not be considered regicide.
The act of King Duncan naming Macbeth as the Prince of Cumberland clears the way for Macbeth to become king in Scotland, as it puts him in line for the throne. This act is seen as a threat by Macbeth, prompting his ambition to seize the crown.
In Act 2, Scene 1 of Macbeth, the king, Duncan, is in a pleasant and gracious mood. He comments on the beauty of Macbeth's castle and expresses gratitude towards Lady Macbeth for hosting him.
Macbeth becomes Thane of Cawdor in Act 1, Scene 3 of the play "Macbeth" after the previous Thane of Cawdor is executed for treason. King Duncan orders the title to be transferred to Macbeth as a reward for his bravery and loyalty in battle.
One example of violence in Macbeth is Macbeth's murder of King Duncan in Act 2, Scene 2. Macbeth's ambitious desire to become king drives him to commit this heinous act, illustrating the destructive consequences of unchecked ambition and the violence that can arise from it.
The witches' prediction that Macbeth will become the Thane of Cawdor has come true, as he receives this title in Act 1. However, their prediction that Macbeth will become King has not yet been fulfilled at this point in the play.
In Act 3 of "Macbeth," Macbeth is focused on consolidating his power and eliminating threats to his rule. He plans the murders of Banquo and Macduff's family to secure his position as king and prevent any challenges to his authority. Macbeth's actions become increasingly tyrannical as he succumbs to his ambition and paranoia.
In Act III Scene 6 Lennox and another Lord discuss their deep suspicions that Macbeth is responsible for the murders of Banquo and Duncan. I hope that is the Scene 6 you had in mind; there is one in Act I and another in Act V. In the one in Act 5, Malcolm's army gets rid of its camouflage.
I can't imagine that knowing that Banquo's descendants would eventually become kings was information which was of much use to Macbeth.
Macbeth persuades the murderers to kill Banquo and his son
The Acts don't have names, only numbers. Possibly the names you are thinking of are the names of the five parts of Freytag's Pyramid, a kind of analytical device for looking at the structure of a play. But Freytag's Pyramid (theorectically) applies to all plays, not just to Macbeth.
so they will sleep through kind duncan's murder.