Banquo wants to discuss the witches' prophecies with Macbeth and their potential significance. He also wants to share his suspicions about Macbeth's recent actions to see if he can uncover any truth behind Macbeth's sudden rise to power.
Banquo replies to Macbeth by saying, "I'll willingly agree to talk with you after the king's feast is over." This indicates that Banquo is open to discussing matters further with Macbeth in the future.
Macbeth kills Banquo in the play and then Banquo's ghost haunts Macbeth.
Assuming you meant when Macbeth sends the two assassins to murder Banquo and Fleance, it is because he doesn't want Banquo's children to become kings like the witches predicted. It only worked half way, because yes they did kill Banquo, but not Fleance.
Lady Macbeth wasn't in on her husband's plans to kill Banquo. When she asked what his plans 'of dreadful note' [Act 3 Scene 2 Line 44] were, he didn't want her to know the specifics. But most likely yes, she would have wanted Macbeth to kill Banquo. Earlier in their conversation, she commented that Banquo and his son Fleance were mortal [and therefore killable?].
Macbeth's best friend was Banquo. They fought together in battle before Macbeth's rise to power.
Macbeth sees the ghost of the recently murdered Banquo.
Macbeth kills Banquo in the play and then Banquo's ghost haunts Macbeth.
No, Lady Macbeth is not aware that Macbeth has planned the death of Banquo and Fleance.
Murder someone. Specifically. Banquo and Fleance.
Macbeth's soldiers do not kill Banquo, Macbeth hires three murderers to do the job.
Macbeth kills him because Banquo starts to work out that Macbeth killed dDuncan
In Act 3 of Macbeth, Macbeth becomes suspicious that Banquo poses a threat to his throne. He worries that Banquo's descendants will inherit the crown, as the witches prophesied. This suspicion leads Macbeth to plot Banquo's murder.