What is true of Hamlet by the end of Act one?

As at the beginning of the play, Hamlet feels that his mother has remarried too soon, and does not like his uncle. He is brooding also over his father's death. He has been forbidden his desire to return to University, since his first reaction to what is going on in Denmark is to get out of it. He has also seen the ghost of his father as others have, but has also been told by it that his father was murdered by his brother, an accusation which nobody else has heard. He is toying with the idea of "putting an antic disposition on" as a cover for whatever he plans to do, but he doesn't yet know what he plans to do.