Which time? In Act 1 he was waiting for the ghost to show up, hoping he would talk to him. In Act 3, Hamlet is haranguing his mother when the ghost turns up (well at least Hamlet sees and hears him).
Sewing
Hamlet doesn't act immediately because he would risk his own life by doing so. If he acted in haste and not cautiously the court would be alarmed by the murder of the knew King and suspect Hamlet. Also Hamlet needs to make sure that the ghost is telling the truth before he acts. A third reason is that killing does not come naturally to Hamlet which adds to his hesitation.
he had said that he didn't like how Caesar was getting all of the credit for everything and that he was wrong for helping the plebians mortem tyrannis
They study before getting started on what they do they forces on what they are doing and thats all there doing
In Scene 2, Horatio tells Hamlet that he has seen the ghost of Hamlet's father walking the battlements. Hamlet is much amazed and insists on accompanying Horatio to the battlements to keep watch. That's what they are doing in Scene 4.
He was sleeping under a tree in his garden.
No, not really there is places you have to unlock by doing missions before getting there
Oh, yes. Hamlet tortures him constantly and gratuitously. "Do you see yonder cloud that's almost in shape of a camel?" Hamlet is just doing that to make Polonius look like a fool.
Hamlet and Horatio do not run into each other at the very beginning of the play; it Act I Scene 2 before they meet, and Hamlet already has one soliloquy under his belt. Nor does he talk at all about swearing until after he has seen and talked to the ghost, in Scene 5. Then he asks Horatio and Marcellus to swear "Never make known what you have seen tonight," and "Never to speak of this that you have seen," and "Never to speak of this that you have heard, " which are all pretty much the same thing. He also gets them to swear "never, so help you mercy, how strange or odd soe'er I bear myself . . . note that you know aught of me." This is a bit different. The first three oaths are "don't tell anyone about the ghost." but the fourth one is "If I start acting weird, don't let on that you know the reason why."
125 years, at least.
There is no way this subject is going to be talked about or there is no way I'm doing that
He did not, but he talked about doing so with his last wife.